Pub Date : 2021-01-01DOI: 10.32523/2077-9879-2021-12-4-74-81
Ahmad Minapoor, A. Bodaghi, O. Mewomo
{"title":"IDEAL CONNES-AMENABILITY OF LAU PRODUCT OF BANACH ALGEBRAS","authors":"Ahmad Minapoor, A. Bodaghi, O. Mewomo","doi":"10.32523/2077-9879-2021-12-4-74-81","DOIUrl":"https://doi.org/10.32523/2077-9879-2021-12-4-74-81","url":null,"abstract":"","PeriodicalId":44248,"journal":{"name":"Eurasian Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69697372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.32523/2077-9879-2021-12-3-57-77
A. Savin, K. Zhuikov
{"title":"η-INVARIANT AND INDEX FOR OPERATORS ON THE REAL LINE PERIODIC AT INFINITY","authors":"A. Savin, K. Zhuikov","doi":"10.32523/2077-9879-2021-12-3-57-77","DOIUrl":"https://doi.org/10.32523/2077-9879-2021-12-3-57-77","url":null,"abstract":"","PeriodicalId":44248,"journal":{"name":"Eurasian Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69697767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.32523/2077-9879-2021-12-3-90-93
Yerlan Nursultanov, A. Bashirova
{"title":"ON THE INEQUALITY OF DIFFERENT METRICS FOR MULTIPLE FOURIER-HAAR SERIES","authors":"Yerlan Nursultanov, A. Bashirova","doi":"10.32523/2077-9879-2021-12-3-90-93","DOIUrl":"https://doi.org/10.32523/2077-9879-2021-12-3-90-93","url":null,"abstract":"","PeriodicalId":44248,"journal":{"name":"Eurasian Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69697772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.32523/2077-9879-2021-12-1-39-48
A. Kalybay, R. Oinarov
References: [1] A. ABYLAYEVA, R. OINAROV ANDL.-E. PERSSON, Boundedness and compactness of a class of Hardy type operators, J. Ineq. Appl. 2016, 324 (2016), https://doi.org/10.1186/s13660-016-1266-y. · Zbl 1351.26009 [2] L. ARENDARENKO, Estimates for Hardy-type integral operators in weighted Lebesgue spaces, Doctoral Thesis, Lule ̊a University of Technology, 2013. [3] E. N. BATUEV ANDV. D. STEPANOV, Weighted inequalities of Hardy type, Siberian Math. J. 30, 1 (1989), 8-16. · Zbl 0729.42007 [4] T. CHEN ANDG. SINNAMON, Generalized Hardy operators and normalizing measures, J. Ineq. Appl. 7, (2002), 829-866. · Zbl 1068.42018 [5] A. GOGATISHVILI ANDJ. LANG, The generalized Hardy operators with kernel and variable integral limits in Banach function spaces, J. Ineq. Appl. 4, (1999), 1-16. [6] H. P. HEINING ANDG. SINNAMON, Mapping properties of integral averaging operators, Stud. Math. 129, (1998), 157-177. · Zbl 0910.26008 [7] A. A. KALYBAY ANDR. OINAROV, Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space, Turk. J. Math. 43, (2019), 301-315. · Zbl 07052290 [8] A. A. KALYBAY ANDR. OINAROV, Boundedness of Riemann-Liouville operator from weighted Sobolev space to weighted Lebesgue space, Eurasian Math. J. 12, 1 (2021), 39-48. · Zbl 1474.26067 [9] A. KUFNER, L. MALIGRANDA ANDL.-E. PERSSON, The Hardy Inequality. About its history and some related results, Vydavatelsk ́y servis, Pilsen, 2007. [10] A. A. MESKHI, Solution of some weight problems for the Riemann-Liouville and Weyl operators, Georgian Math. J., 5, 6 (1998), 565-574. · Zbl 0931.42008 [11] R. OINAROV, On weighted norm inequalities with three weights, J. London Math. Soc. 48, 2 (1993), 103-116. · Zbl 0811.26008 [12] R. OINAROV, Boundedness of integral operators from weighted Sobolev space to weighted Lebesgue space, Complex Var. Elliptic Equ. 56, 10-11 (2011), 1021-1038. · Zbl 1226.26013 [13] R. OINAROV, Boundedness of integral operators in weighted Sobolev spaces, Izv. Math. 78, 4 (2014), 836-853. · Zbl 1305.47032 [14] R. OINAROV, Boundedness and compactness of Volterra type integral operators, Siberian Math. J. 48, 5 (2007), 884-896. · Zbl 1164.47346 [15] R. OINAROV, Boundedness and compactness in weighted Lebesgue spaces of integral operators with variable integration limits, Siberian Math. J., 52, 6 (2011), 1042-1055. · Zbl 1237.47051 [16] R. OINAROV ANDM. OTELBAEV, A criterion for the discreteness of the spectrum of the general Sturm-Liouville operator, and embedding theorems connected with it, Differ. Equ. 24, 4 (1988), 402408. · Zbl 0673.34027 [17] D. V. PROKHOROV, On the boundedness and compactness of a class of integral operators, J. London Math. Soc. 64, 2 (2000), 617-628. · Zbl 0956.47019 [18] D. V. PROKHOROV ANDV. D. STEPANOV, Weighted estimates for the Riemann-Liouville operators and applications, Proc. Steklov Inst. Math. 243, (2003), 278-301. · Zbl 1081.26004
参考文献:A. ABYLAYEVA, R. ininarov, l .- e。一类Hardy型算子的紧性与有界性，J. Ineq。苹果，2016,324 (2016)，https://doi.org/10.1186/s13660-016-1266-y。·Zbl 1351.26009 bbbl . ARENDARENKO，加权Lebesgue空间中hardy型积分算子的估计，博士论文，黑龙江理工大学，2013。b[3] e. n.巴图夫和v .;D. STEPANOV, Hardy型加权不等式，西伯利亚数学。[j] .科学通报，1(1989)，8-16。·[Zbl] 0729.42007[[4]]陈德刚。辛纳蒙，广义Hardy算子与规格化测度，[j]。应用科学7，(2002)，829-866。·Zbl 1068.42018 [5] A. GOGATISHVILI ANDJ.;王志强，具有核和变积分极限的广义Hardy算子，在Banach函数空间，j。应用学报，(1999)，1-16。b[6] h. p.海宁和。积分平均算子的映射性质，第2章。数学。129，(1998)，157-177。·Zbl 0910.26008 [7] a.a. KALYBAY ANDR从加权Sobolev空间到加权Lebesgue空间的核算子及其有界性，土耳其文。数学学报，43(2019)，301-315。·Zbl 07052290 [8] a.a. KALYBAY ANDRininarov，从加权Sobolev空间到加权Lebesgue空间的Riemann-Liouville算子的有界性，欧亚数学。J.学报，1(2021)，39-48。·Zbl 1474.26067 bbb A. KUFNER, L. MALIGRANDA和L.- e。《哈代不等式》。关于它的历史和一些相关的结果，Vydavatelsk ø y servis, Pilsen, 2007。[10] A. A. MESKHI, Riemann-Liouville和Weyl算子的一些权问题的解，数学。[J] .， 5, 6(1998)， 565-574。·[j]李彦宏，关于三权值的加权范数不等式，数学学报(自然科学版)。社会法学，48(1993)，103-116。·Zbl 0811.26008 bbb R. ininarov，从加权Sobolev空间到加权Lebesgue空间的积分算子的有界性，复变方程，56,10-11(2011)，1021-1038。·R. ininarov，加权Sobolev空间中积分算子的有界性，vol . 11 - 12数学。78,4(2014)，836-853。·R. ininarov, Volterra型积分算子的紧性和有界性，数学学报，2001,11(5):557 - 557。[j] .生物医学工程学报，2007,31(2):389 - 396。·Zbl [1] R. ininarov，具有变积分极限的积分算子在Lebesgue空间中的有界性和紧性，数学学报。[J] .生物医学工程学报，2011,26(6):1042-1055。·Zbl 123747051 bb0 R. ininarov ANDM。一般Sturm-Liouville算子谱离散性的判据，以及与之相关的嵌入定理。方程24,4(1988)，402408。·J. D. V. PROKHOROV，一类积分算子的紧性和有界性，数学学报。社会科学学报，2(2000)，617-628。·Zbl 0956.47019 [18] D. V. PROKHOROV等。D. STEPANOV, Riemann-Liouville算子的加权估计及其应用，数学学报，43(2003)，278-301。·Zbl 1081.26004
{"title":"BOUNDEDNESS OF RIEMANN-LIOUVILLE OPERATOR FROM WEIGHTED SOBOLEV SPACE TO WEIGHTED LEBESGUE SPACE","authors":"A. Kalybay, R. Oinarov","doi":"10.32523/2077-9879-2021-12-1-39-48","DOIUrl":"https://doi.org/10.32523/2077-9879-2021-12-1-39-48","url":null,"abstract":"References: [1] A. ABYLAYEVA, R. OINAROV ANDL.-E. PERSSON, Boundedness and compactness of a class of Hardy type operators, J. Ineq. Appl. 2016, 324 (2016), https://doi.org/10.1186/s13660-016-1266-y. · Zbl 1351.26009 [2] L. ARENDARENKO, Estimates for Hardy-type integral operators in weighted Lebesgue spaces, Doctoral Thesis, Lule ̊a University of Technology, 2013. [3] E. N. BATUEV ANDV. D. STEPANOV, Weighted inequalities of Hardy type, Siberian Math. J. 30, 1 (1989), 8-16. · Zbl 0729.42007 [4] T. CHEN ANDG. SINNAMON, Generalized Hardy operators and normalizing measures, J. Ineq. Appl. 7, (2002), 829-866. · Zbl 1068.42018 [5] A. GOGATISHVILI ANDJ. LANG, The generalized Hardy operators with kernel and variable integral limits in Banach function spaces, J. Ineq. Appl. 4, (1999), 1-16. [6] H. P. HEINING ANDG. SINNAMON, Mapping properties of integral averaging operators, Stud. Math. 129, (1998), 157-177. · Zbl 0910.26008 [7] A. A. KALYBAY ANDR. OINAROV, Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space, Turk. J. Math. 43, (2019), 301-315. · Zbl 07052290 [8] A. A. KALYBAY ANDR. OINAROV, Boundedness of Riemann-Liouville operator from weighted Sobolev space to weighted Lebesgue space, Eurasian Math. J. 12, 1 (2021), 39-48. · Zbl 1474.26067 [9] A. KUFNER, L. MALIGRANDA ANDL.-E. PERSSON, The Hardy Inequality. About its history and some related results, Vydavatelsk ́y servis, Pilsen, 2007. [10] A. A. MESKHI, Solution of some weight problems for the Riemann-Liouville and Weyl operators, Georgian Math. J., 5, 6 (1998), 565-574. · Zbl 0931.42008 [11] R. OINAROV, On weighted norm inequalities with three weights, J. London Math. Soc. 48, 2 (1993), 103-116. · Zbl 0811.26008 [12] R. OINAROV, Boundedness of integral operators from weighted Sobolev space to weighted Lebesgue space, Complex Var. Elliptic Equ. 56, 10-11 (2011), 1021-1038. · Zbl 1226.26013 [13] R. OINAROV, Boundedness of integral operators in weighted Sobolev spaces, Izv. Math. 78, 4 (2014), 836-853. · Zbl 1305.47032 [14] R. OINAROV, Boundedness and compactness of Volterra type integral operators, Siberian Math. J. 48, 5 (2007), 884-896. · Zbl 1164.47346 [15] R. OINAROV, Boundedness and compactness in weighted Lebesgue spaces of integral operators with variable integration limits, Siberian Math. J., 52, 6 (2011), 1042-1055. · Zbl 1237.47051 [16] R. OINAROV ANDM. OTELBAEV, A criterion for the discreteness of the spectrum of the general Sturm-Liouville operator, and embedding theorems connected with it, Differ. Equ. 24, 4 (1988), 402408. · Zbl 0673.34027 [17] D. V. PROKHOROV, On the boundedness and compactness of a class of integral operators, J. London Math. Soc. 64, 2 (2000), 617-628. · Zbl 0956.47019 [18] D. V. PROKHOROV ANDV. D. STEPANOV, Weighted estimates for the Riemann-Liouville operators and applications, Proc. Steklov Inst. Math. 243, (2003), 278-301. · Zbl 1081.26004","PeriodicalId":44248,"journal":{"name":"Eurasian Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69697560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.32523/2077-9879-2021-12-3-29-41
Altai Borubaev, Dilrabo Eshkobilova
{"title":"THE FUNCTOR OF IDEMPOTENT PROBABILITY MEASURES AND MAPS WITH UNIFORMITY PROPERTIES OF UNIFORM SPACES","authors":"Altai Borubaev, Dilrabo Eshkobilova","doi":"10.32523/2077-9879-2021-12-3-29-41","DOIUrl":"https://doi.org/10.32523/2077-9879-2021-12-3-29-41","url":null,"abstract":"","PeriodicalId":44248,"journal":{"name":"Eurasian Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69697690","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.32523/2077-9879-2021-12-4-21-42
A. Hammoudi, M. Benharrat
{"title":"ON THE RELATION BETWEEN TWO APPROACHES TO EXTERIOR PENALTY METHOD FOR CONSTRAINED OPTIMAL CONTROL PROBLEMS","authors":"A. Hammoudi, M. Benharrat","doi":"10.32523/2077-9879-2021-12-4-21-42","DOIUrl":"https://doi.org/10.32523/2077-9879-2021-12-4-21-42","url":null,"abstract":"","PeriodicalId":44248,"journal":{"name":"Eurasian Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69697788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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