{"title":"Weakened well-posedness of a hyperbolic characteristic boundary value problem","authors":"S. Brahimi, A. Mokrane","doi":"10.4064/ap200810-26-5","DOIUrl":"https://doi.org/10.4064/ap200810-26-5","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70581208","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}
{"title":"Real analyticity of a $C^{infty }$-germ at the origin","authors":"A. Sadullaev","doi":"10.4064/ap210125-31-3","DOIUrl":"https://doi.org/10.4064/ap210125-31-3","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70582199","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}
. S. Banach proved that for any L 2 function, there exists an orthonormal system such that the Fourier series of this function is not Cesàro summable a.e. In this paper, we present sufficient conditions that must be satisfied by functions of an orthonormal system so that the Fourier coefficients of any function of bounded variation satisfy the conditions of the Menshov–Kaczmarz theorem. The results obtained are the best possible in a certain sense. We also prove that any orthonormal system contains a subsystem for which the Fourier series of functions of bounded variation are Cesàro summable a.e. These results generalize those of L. Gogoladze and V. Tsagareishvili [Studia Sci. Math. Hungar. 52 (2015), 511–536].
． S. Banach证明了对于任意l2函数，存在一个标准正交系统，使得该函数的傅里叶级数不Cesàro可和。本文给出了一个标准正交系统的函数必须满足的充分条件，使得任何有界变分函数的傅里叶系数满足Menshov-Kaczmarz定理的条件。所得到的结果在某种意义上是最好的。我们还证明了任何标准正交系统都包含一个子系统，其中有界变分函数的傅里叶级数是Cesàro可和的。这些结果推广了L. Gogoladze和V. Tsagareishvili [Studia Sci]的结果。数学。匈牙利，52(2015)，511-536。
{"title":"General Fourier coefficients and problems of summability almost everywhere","authors":"G. Cagareishvili","doi":"10.4064/ap200731-23-10","DOIUrl":"https://doi.org/10.4064/ap200731-23-10","url":null,"abstract":". S. Banach proved that for any L 2 function, there exists an orthonormal system such that the Fourier series of this function is not Cesàro summable a.e. In this paper, we present sufficient conditions that must be satisfied by functions of an orthonormal system so that the Fourier coefficients of any function of bounded variation satisfy the conditions of the Menshov–Kaczmarz theorem. The results obtained are the best possible in a certain sense. We also prove that any orthonormal system contains a subsystem for which the Fourier series of functions of bounded variation are Cesàro summable a.e. These results generalize those of L. Gogoladze and V. Tsagareishvili [Studia Sci. Math. Hungar. 52 (2015), 511–536].","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70581572","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}
{"title":"The Jubilee Congress of PTM","authors":"Local organizers","doi":"10.4064/ap211029-29-10","DOIUrl":"https://doi.org/10.4064/ap211029-29-10","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70583544","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}
{"title":"Existence of solutions for Schrödinger–Kirchhoff systems involving the fractional $p$-Laplacian in $mathbb R^N$","authors":"Wei Chen, N. Thin","doi":"10.4064/AP200918-13-4","DOIUrl":"https://doi.org/10.4064/AP200918-13-4","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"126 1","pages":"129-163"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70581221","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}
{"title":"Hardy-type operators with general kernels and characterizations of dynamic weighted inequalities","authors":"S. Saker, M. M. Osman, D. O’Regan, R. Agarwal","doi":"10.4064/ap191222-23-6","DOIUrl":"https://doi.org/10.4064/ap191222-23-6","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70580074","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}
{"title":"On the surjectivity of the Borel mapping for some quasi-analytic rings","authors":"Abdelhafed El Khadiri","doi":"10.4064/AP200714-4-11","DOIUrl":"https://doi.org/10.4064/AP200714-4-11","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"126 1","pages":"21-30"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70581509","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}
{"title":"Integration operators between Bloch type spaces and growth spaces on the unit ball of a complex Banach space","authors":"Jiale Chen, Maofa Wang","doi":"10.4064/ap210511-1-7","DOIUrl":"https://doi.org/10.4064/ap210511-1-7","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70583024","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}
. We show some classes of subsets S, T in C such that for a meromorphic function f and an L -function L, the condition L − 1 ( S ) = f − 1 ( T ) implies f ≡ L. 30D05.
． 我们证明了C中子集S, T的若干类，使得对于亚纯函数f和L -函数L，条件L−1 (S) = f−1 (T)意味着f≡L. 30D05。
{"title":"Value-sharing and uniqueness for $L$-functions","authors":"H. Khoai, V. H. An, Le Quang Ninh","doi":"10.4064/AP201030-17-3","DOIUrl":"https://doi.org/10.4064/AP201030-17-3","url":null,"abstract":". We show some classes of subsets S, T in C such that for a meromorphic function f and an L -function L, the condition L − 1 ( S ) = f − 1 ( T ) implies f ≡ L. 30D05.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70581396","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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