Pub Date : 2022-12-01DOI: 10.4208/ata.oa-2021-0013
Jingling Hu, Yang Li
{"title":"Hardy Operators and Commutators on Weighted Herz Spaces","authors":"Jingling Hu, Yang Li","doi":"10.4208/ata.oa-2021-0013","DOIUrl":"https://doi.org/10.4208/ata.oa-2021-0013","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86619970","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 : 2022-11-01DOI: 10.4208/ata.oa-2022-0009
Limei Dai
{"title":"The Solutions with Prescribed Asymptotic Behavior for the Exterior Dirichlet Problem of Hessian Equations","authors":"Limei Dai","doi":"10.4208/ata.oa-2022-0009","DOIUrl":"https://doi.org/10.4208/ata.oa-2022-0009","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78626367","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 : 2022-11-01DOI: 10.4208/ata.oa-2021-0034
Xing Feng
{"title":"Characterizations of Bounded Singular Integral Operators on the Fock Space and Their Berezin Transforms","authors":"Xing Feng","doi":"10.4208/ata.oa-2021-0034","DOIUrl":"https://doi.org/10.4208/ata.oa-2021-0034","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76572875","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: 10.4208/ata.oa-2018-0014
Alok Jain, A. Bhat, R. Jain, D. K. Jain
{"title":"$(p, q)$-Analogue of Mittag-Leffler Function with $(p, q)$-Laplace Transform","authors":"Alok Jain, A. Bhat, R. Jain, D. K. Jain","doi":"10.4208/ata.oa-2018-0014","DOIUrl":"https://doi.org/10.4208/ata.oa-2018-0014","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84711398","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: 10.4208/ata.oa-2019-0011
H. Le
In this article, we obtain some weighted estimates for Marcinkiewicz integrals with non-smooth kernels on spaces of homogeneous type. The weight w considered here belongs to the Muckenhoupt’s class A∞. Moreover, weighted estimates for commutators of BMO functions and Marcinkiewicz integrals are also given.
{"title":"Weighted Norm Inequalities for Marcinkiewicz Integrals with Non-Smooth Kernels on Spaces of Homogeneous Type","authors":"H. Le","doi":"10.4208/ata.oa-2019-0011","DOIUrl":"https://doi.org/10.4208/ata.oa-2019-0011","url":null,"abstract":"In this article, we obtain some weighted estimates for Marcinkiewicz integrals with non-smooth kernels on spaces of homogeneous type. The weight w considered here belongs to the Muckenhoupt’s class A∞. Moreover, weighted estimates for commutators of BMO functions and Marcinkiewicz integrals are also given.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82283404","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: 10.4208/ata.oa-2020-0002
Fang Liu, Fei Meng null, Xiaoyan Chen
{"title":"Regularity of Viscosity Solutions of the Biased Infinity Laplacian Equation","authors":"Fang Liu, Fei Meng null, Xiaoyan Chen","doi":"10.4208/ata.oa-2020-0002","DOIUrl":"https://doi.org/10.4208/ata.oa-2020-0002","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88492409","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: 10.4208/ata.oa-2021-0003
Dazhao Chen
{"title":"Boundedness on Triebel-Lizorkin and Lebesgue Spaces of Multilinear Singular Integral Operators Satisfying a Variant of Hörmander’s Condition","authors":"Dazhao Chen","doi":"10.4208/ata.oa-2021-0003","DOIUrl":"https://doi.org/10.4208/ata.oa-2021-0003","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84166184","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: 10.4208/ata.oa-2017-0044
Gopi Prasad null, R. Dimri
. In this paper, we prove fixed point theorem for weakly contractive mappings using locally T -transitivity of binary relation and presenting an analogous ver-sion of Harjani and Sadarangani theorem involving more general relation theoretic metrical notions. Our fixed point results under universal relation reduces to Harjani and Sadarangani [Nonlinear Anal., 71 (2009), 3403–3410] fixed point theorems. In this way we also generalize some of the recent fixed point theorems for weak contraction in the existing literature.
{"title":"Fixed Point Theorems for Weakly Contractive Mappings in Ordered Metric Spaces with an Application","authors":"Gopi Prasad null, R. Dimri","doi":"10.4208/ata.oa-2017-0044","DOIUrl":"https://doi.org/10.4208/ata.oa-2017-0044","url":null,"abstract":". In this paper, we prove fixed point theorem for weakly contractive mappings using locally T -transitivity of binary relation and presenting an analogous ver-sion of Harjani and Sadarangani theorem involving more general relation theoretic metrical notions. Our fixed point results under universal relation reduces to Harjani and Sadarangani [Nonlinear Anal., 71 (2009), 3403–3410] fixed point theorems. In this way we also generalize some of the recent fixed point theorems for weak contraction in the existing literature.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89872584","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: 10.4208/ata.oa-2021-0025
Shutao Zhang null, Yazhou Han
{"title":"Rearrangement Free Method for Hardy-Littlewood-Sobolev Inequalities on $mathbb{S}^n$","authors":"Shutao Zhang null, Yazhou Han","doi":"10.4208/ata.oa-2021-0025","DOIUrl":"https://doi.org/10.4208/ata.oa-2021-0025","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90417000","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: 10.4208/ata.oa-2017-0080
Yanying Han, Shaoyuan Xu
{"title":"New Results on Generalized $c$-Distance Without Continuity in Cone $b$-Metric Spaces over Banach Algebras","authors":"Yanying Han, Shaoyuan Xu","doi":"10.4208/ata.oa-2017-0080","DOIUrl":"https://doi.org/10.4208/ata.oa-2017-0080","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73677485","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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