Pub Date : 2023-06-19DOI: 10.21136/cmj.2023.0432-22
Xiaojian Lu, Deren Luo
{"title":"Tensor products of higher almost split sequences in subcategories","authors":"Xiaojian Lu, Deren Luo","doi":"10.21136/cmj.2023.0432-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0432-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46022200","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-19DOI: 10.21136/cmj.2023.0450-22
H. Kalita, R. Agarwal, B. Hazarika
{"title":"Convergence of ap-Henstock-Kurzweil integral on locally compact spaces","authors":"H. Kalita, R. Agarwal, B. Hazarika","doi":"10.21136/cmj.2023.0450-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0450-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46006453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-12DOI: 10.21136/CMJ.2023.0310-22
Jae Gil Choi, S. Shim
We study a conditional Fourier-Feynman transform (CFFT) of functionals on an abstract Wiener space (H, B, v). An infinite dimensional conditioning function is used to define the CFFT. To do this, we first present a short survey of the conditional Wiener integral concerning the topic of this paper. We then establish evaluation formulas for the conditional Wiener integral on the abstract Wiener space B. Using the evaluation formula, we next provide explicit formulas for CFFTs of functionals in the Kallianpur and Bromley Fresnel class ℱ(B) and we finally investigate some Fubini theorems involving CFFT.
{"title":"Conditional Fourier-Feynman transform given infinite dimensional conditioning function on abstract Wiener space","authors":"Jae Gil Choi, S. Shim","doi":"10.21136/CMJ.2023.0310-22","DOIUrl":"https://doi.org/10.21136/CMJ.2023.0310-22","url":null,"abstract":"We study a conditional Fourier-Feynman transform (CFFT) of functionals on an abstract Wiener space (H, B, v). An infinite dimensional conditioning function is used to define the CFFT. To do this, we first present a short survey of the conditional Wiener integral concerning the topic of this paper. We then establish evaluation formulas for the conditional Wiener integral on the abstract Wiener space B. Using the evaluation formula, we next provide explicit formulas for CFFTs of functionals in the Kallianpur and Bromley Fresnel class ℱ(B) and we finally investigate some Fubini theorems involving CFFT.","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":"73 1","pages":"849 - 868"},"PeriodicalIF":0.5,"publicationDate":"2023-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49180431","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-07DOI: 10.21136/CMJ.2023.0173-22
Qianqian Yuan, Hailou Yao
We introduce the notions of silting comodules and finitely silting comodules in quasi-finite category, and study some properties of them. We investigate the torsion pair and dualities which are related to finitely silting comodules, and give the equivalences among silting comodules, finitely silting comodules, tilting comodules and finitely tilting comodules.
{"title":"Finitely silting comodules in quasi-finite comodule category","authors":"Qianqian Yuan, Hailou Yao","doi":"10.21136/CMJ.2023.0173-22","DOIUrl":"https://doi.org/10.21136/CMJ.2023.0173-22","url":null,"abstract":"We introduce the notions of silting comodules and finitely silting comodules in quasi-finite category, and study some properties of them. We investigate the torsion pair and dualities which are related to finitely silting comodules, and give the equivalences among silting comodules, finitely silting comodules, tilting comodules and finitely tilting comodules.","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":"73 1","pages":"695 - 714"},"PeriodicalIF":0.5,"publicationDate":"2023-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46075006","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-24DOI: 10.21136/cmj.2023.0442-22
Y. Mizuta, T. Shimomura
{"title":"Sobolev type inequalities for fractional maximal functions and Riesz potentials in Morrey spaces of variable exponent on half spaces","authors":"Y. Mizuta, T. Shimomura","doi":"10.21136/cmj.2023.0442-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0442-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43468032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-22DOI: 10.21136/cmj.2023.0313-22
Varayu Boonpogkrong
{"title":"The topology of the space of $mathcal{HK}$ integrable functions in ${mathbb R}^n$","authors":"Varayu Boonpogkrong","doi":"10.21136/cmj.2023.0313-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0313-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45077067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-22DOI: 10.21136/CMJ.2023.0193-22
Yu Wang, Xiao-Meng Li
Let U be the two-parameter quantized enveloping algebra Ur,s(sl2)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${U_{r,s}}({mathfrak{s}mathfrak{l}_2})$$end{document} and F(U) the locally finite subalgebra of U under the adjoint action. The aim of this paper is to determine some ring-theoretical properties of F(U) in the case when rs−1 is not a root of unity. Then we describe the annihilator ideals of finite dimensional simple modules of U by generators.
{"title":"Annihilator ideals of finite dimensional simple modules of two-parameter quantized enveloping algebra Ur,s(sl2)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{","authors":"Yu Wang, Xiao-Meng Li","doi":"10.21136/CMJ.2023.0193-22","DOIUrl":"https://doi.org/10.21136/CMJ.2023.0193-22","url":null,"abstract":"Let U be the two-parameter quantized enveloping algebra Ur,s(sl2)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${U_{r,s}}({mathfrak{s}mathfrak{l}_2})$$end{document} and F(U) the locally finite subalgebra of U under the adjoint action. The aim of this paper is to determine some ring-theoretical properties of F(U) in the case when rs−1 is not a root of unity. Then we describe the annihilator ideals of finite dimensional simple modules of U by generators.","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":"73 1","pages":"715 - 731"},"PeriodicalIF":0.5,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49635981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-19DOI: 10.21136/CMJ.2023.0387-22
K. Yoshitomi
We establish the Fredholmness of a pseudo-differential operator whose symbol is of class C0,σ, 0 < σ < 1, in the spatial variable. Our work here refines the work of H. Abels, C. Pfeuffer (2020).
在空间变量上建立了符号为C0，σ， 0 < σ < 1的伪微分算子的Fredholmness。我们在这里的工作完善了H. Abels, C. Pfeuffer(2020)的工作。
{"title":"Fredholmness of pseudo-differential operators with nonregular symbols","authors":"K. Yoshitomi","doi":"10.21136/CMJ.2023.0387-22","DOIUrl":"https://doi.org/10.21136/CMJ.2023.0387-22","url":null,"abstract":"We establish the Fredholmness of a pseudo-differential operator whose symbol is of class C0,σ, 0 < σ < 1, in the spatial variable. Our work here refines the work of H. Abels, C. Pfeuffer (2020).","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":"73 1","pages":"941 - 954"},"PeriodicalIF":0.5,"publicationDate":"2023-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42963747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-15DOI: 10.21136/CMJ.2023.0232-22
Tianshui Ma, Bei Li, Jie Li, Miaoshuang Chen
We present a notion of an anti-covariant bialgebra extending the anti-symmetric infinitesimal bialgebra and also provide some equivalent characterizations of it. We also prove that an anti-associative Yang-Baxter pair can produce a special Rota-Baxter system.
{"title":"A new approach to antisymmetric infinitesimal bialgebras","authors":"Tianshui Ma, Bei Li, Jie Li, Miaoshuang Chen","doi":"10.21136/CMJ.2023.0232-22","DOIUrl":"https://doi.org/10.21136/CMJ.2023.0232-22","url":null,"abstract":"We present a notion of an anti-covariant bialgebra extending the anti-symmetric infinitesimal bialgebra and also provide some equivalent characterizations of it. We also prove that an anti-associative Yang-Baxter pair can produce a special Rota-Baxter system.","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":"73 1","pages":"755 - 764"},"PeriodicalIF":0.5,"publicationDate":"2023-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48038752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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