Pub Date : 2022-06-01DOI: 10.4208/ata.oa-2019-0012
Fida Bahba null, Rabiaa Ghabi
{"title":"Harmonic Analysis Associated with the Heckman-Opdam-Jacobi Operator on $mathbb{R}^{d+1}$","authors":"Fida Bahba null, Rabiaa Ghabi","doi":"10.4208/ata.oa-2019-0012","DOIUrl":"https://doi.org/10.4208/ata.oa-2019-0012","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":"85183065","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-2019-0021
Gongwei Liu null, Shuying Tian
{"title":"Blow-Up Phenomena for Some Pseudo-Parabolic Equations with Nonlocal Term","authors":"Gongwei Liu null, Shuying Tian","doi":"10.4208/ata.oa-2019-0021","DOIUrl":"https://doi.org/10.4208/ata.oa-2019-0021","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":"78571541","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-2020-0034
Huan Wang
In this paper, we first introduce some new kinds of weighted amalgam spaces. Then we discuss the strong type and weak type estimates for a class of Calderón–Zygmund type operators Tθ in these new weighted spaces. Furthermore, the strong type estimate and endpoint estimate of linear commutators [b, Tθ ] formed by b and Tθ are established. Also we study related problems about two-weight, weak type inequalities for Tθ and [b, Tθ ] in the weighted amalgam spaces and give some results.
{"title":"Some Estimates for $θ$-type Calderόn–Zygmund Operators and Linear Commutators on Certain Weighted Amalgam Spaces","authors":"Huan Wang","doi":"10.4208/ata.oa-2020-0034","DOIUrl":"https://doi.org/10.4208/ata.oa-2020-0034","url":null,"abstract":"In this paper, we first introduce some new kinds of weighted amalgam spaces. Then we discuss the strong type and weak type estimates for a class of Calderón–Zygmund type operators Tθ in these new weighted spaces. Furthermore, the strong type estimate and endpoint estimate of linear commutators [b, Tθ ] formed by b and Tθ are established. Also we study related problems about two-weight, weak type inequalities for Tθ and [b, Tθ ] in the weighted amalgam spaces and give some results.","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":"74193732","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-2021-0029
Huashui Zhan, Zhaosheng Feng
{"title":"Definite Condition of the Evolutionary $vec{p}(x)$−Laplacian Equation","authors":"Huashui Zhan, Zhaosheng Feng","doi":"10.4208/ata.oa-2021-0029","DOIUrl":"https://doi.org/10.4208/ata.oa-2021-0029","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":"72914586","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 : 2022-01-01DOI: 10.4208/ata.oa-2020-0013
global sci
{"title":"Sublinear Operators with Rough Kernel on Herz Spaces with Variable Exponents","authors":"global sci","doi":"10.4208/ata.oa-2020-0013","DOIUrl":"https://doi.org/10.4208/ata.oa-2020-0013","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84685205","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 : 2022-01-01DOI: 10.4208/ata.oa-2017-0061
global sci
{"title":"$sup times inf$ Inequalities for the Scalar Curvature Equation in Dimensions 4 and 5","authors":"global sci","doi":"10.4208/ata.oa-2017-0061","DOIUrl":"https://doi.org/10.4208/ata.oa-2017-0061","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81946552","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 : 2022-01-01DOI: 10.4208/ata.oa-2020-0044
global sci
{"title":"Nodal Solutions of the Brezis-Nirenberg Problem in Dimension 6","authors":"global sci","doi":"10.4208/ata.oa-2020-0044","DOIUrl":"https://doi.org/10.4208/ata.oa-2020-0044","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86002135","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 : 2022-01-01DOI: 10.4208/ata.oa-2017-0063
global sci
{"title":"On Proximal Relations in Transformation Semigroups Arising from Generalized Shifts","authors":"global sci","doi":"10.4208/ata.oa-2017-0063","DOIUrl":"https://doi.org/10.4208/ata.oa-2017-0063","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85171061","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 : 2021-06-01DOI: 10.4208/ATA.2021.PR80.01
global sci
{"title":"Diffusion with a Discontinuous Potential: a Non-Linear Semigroup Approach","authors":"global sci","doi":"10.4208/ATA.2021.PR80.01","DOIUrl":"https://doi.org/10.4208/ATA.2021.PR80.01","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73840228","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 : 2021-06-01DOI: 10.4208/ATA.2021.PR80.12
global sci
{"title":"Gradient Estimates of Solutions to the Conductivity Problem with Flatter Insulators","authors":"global sci","doi":"10.4208/ATA.2021.PR80.12","DOIUrl":"https://doi.org/10.4208/ATA.2021.PR80.12","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74783004","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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