Pub Date : 2023-02-01DOI: 10.15393/j3.art.2023.12310
B. Selmi, N. Svetova
{"title":"ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES","authors":"B. Selmi, N. Svetova","doi":"10.15393/j3.art.2023.12310","DOIUrl":"https://doi.org/10.15393/j3.art.2023.12310","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"32 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74995353","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 : 2023-02-01DOI: 10.15393/j3.art.2023.13290
N. Volchkova, V. Volchkov
{"title":"RECOVERING THE LAPLACIAN FROM CENTERED MEANS ON BALLS AND SPHERES OF FIXED RADIUS","authors":"N. Volchkova, V. Volchkov","doi":"10.15393/j3.art.2023.13290","DOIUrl":"https://doi.org/10.15393/j3.art.2023.13290","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"1 19 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87661487","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 : 2023-02-01DOI: 10.15393/j3.art.2023.11890
Sonali Sharma, K. Raj
{"title":"A NEW APPROACH TO EGOROV’S THEOREM BY MEANS OF 𝛼𝛽−STATISTICAL IDEAL CONVERGENCE","authors":"Sonali Sharma, K. Raj","doi":"10.15393/j3.art.2023.11890","DOIUrl":"https://doi.org/10.15393/j3.art.2023.11890","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"46 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80984798","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 : 2023-02-01DOI: 10.15393/j3.art.2023.11810
Mudasir Yousuf Mir, L. Wali, W. M. Shah
{"title":"GENERALIZATIONS OF CERTAIN WELL-KNOWN INEQUALITIES FOR RATIONAL FUNCTIONS","authors":"Mudasir Yousuf Mir, L. Wali, W. M. Shah","doi":"10.15393/j3.art.2023.11810","DOIUrl":"https://doi.org/10.15393/j3.art.2023.11810","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"8 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82220744","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 : 2022-08-11DOI: 10.15393/j3.art.2023.12110
Parthapratim Saha, B. Hazarika
For a locally compact group $H$ with a left Haar measure, we study variable Lebesgue algebra $mathcal{L}^{p(cdot)}(H)$ with respect to a convolution. We show that if $mathcal{L}^{p(cdot)}(H)$ has bounded exponent, then it contains a left approximate identity. We also prove a necessary and sufficient condition for $mathcal{L}^{p(cdot)}(H)$ to have an identity. We observe that a closed linear subspace of $mathcal{L}^{p(cdot)}(H)$ is a left ideal if and only if it is left translation invariant.
{"title":"Variable Lebesgue algebra on a Locally Compact group","authors":"Parthapratim Saha, B. Hazarika","doi":"10.15393/j3.art.2023.12110","DOIUrl":"https://doi.org/10.15393/j3.art.2023.12110","url":null,"abstract":"For a locally compact group $H$ with a left Haar measure, we study variable Lebesgue algebra $mathcal{L}^{p(cdot)}(H)$ with respect to a convolution. We show that if $mathcal{L}^{p(cdot)}(H)$ has bounded exponent, then it contains a left approximate identity. We also prove a necessary and sufficient condition for $mathcal{L}^{p(cdot)}(H)$ to have an identity. We observe that a closed linear subspace of $mathcal{L}^{p(cdot)}(H)$ is a left ideal if and only if it is left translation invariant.","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"31 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72415335","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 : 2022-06-01DOI: 10.15393/j3.art.2022.11310
Y. Habbachi, B. Bouras
{"title":"A NOTE FOR THE DUNKL-CLASSICAL POLYNOMIALS","authors":"Y. Habbachi, B. Bouras","doi":"10.15393/j3.art.2022.11310","DOIUrl":"https://doi.org/10.15393/j3.art.2022.11310","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"9 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75925775","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 : 2022-06-01DOI: 10.15393/j3.art.2022.11230
Sejal V. Puvar, R. Vyas
{"title":"´CIRI´C-TYPE RESULTS IN QUASI-METRIC SPACES AND 𝐺-METRIC SPACES USING SIMULATION FUNCTION","authors":"Sejal V. Puvar, R. Vyas","doi":"10.15393/j3.art.2022.11230","DOIUrl":"https://doi.org/10.15393/j3.art.2022.11230","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"19 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72520085","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 : 2022-06-01DOI: 10.15393/j3.art.2022.11190
B. Bayraktar, J. Nápoles, F. Rabossi
{"title":"On Generalizations of Integral Inequalities","authors":"B. Bayraktar, J. Nápoles, F. Rabossi","doi":"10.15393/j3.art.2022.11190","DOIUrl":"https://doi.org/10.15393/j3.art.2022.11190","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"64 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86044856","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 : 2022-06-01DOI: 10.15393/j3.art.2022.11910
Z. Li, C. Wang, R. Agarwal
{"title":"Time-hybrid heat and wave equations on scattered $n$-dimensional coupled-jumping time scales","authors":"Z. Li, C. Wang, R. Agarwal","doi":"10.15393/j3.art.2022.11910","DOIUrl":"https://doi.org/10.15393/j3.art.2022.11910","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"41 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91189135","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 : 2022-06-01DOI: 10.15393/j3.art.2022.10711
S. Volosivets
{"title":"Approximation by linear means of Fourier series and realization functionals in weighted Orlicz spaces","authors":"S. Volosivets","doi":"10.15393/j3.art.2022.10711","DOIUrl":"https://doi.org/10.15393/j3.art.2022.10711","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"21 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74443927","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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