Operating Functions on As<SUP>q</SUP> (T)

作     者：Kobayashi, Masaharu Sato, Enji 

作者机构：Hokkaido Univ Dept Math Kita Ku Kita 10Nishi 8 Sapporo Hokkaido 0600810 Japan Yamagata Univ Dept Math Sci Fac Sci Kojirakawa 1-4-12 Yamagata Yamagata 9908560 Japan 

出 版 物：《JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS》 (傅立叶分析与应用杂志)

年 卷 期：2022年第28卷第3期

页      面：42-42页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：JSPS KAKENHI [JP19K03533  JP17K05289] 

主　　题：Absolutely convergent Fourier series Operating functions Fourier Lebesgue spaces 

摘      要：Let A(s)(q) (T) denote the space of all Lebesgue integrable functions integral on the torus T such that Sigma(m is an element of Z) vertical bar (f) over cap (m)vertical bar(q) (m)(sq) (m)}(m is an element of Z) denote the Fourier coefficients of f. We consider necessary and sufficient conditions for all functions F is an element of A(beta)(1) (T) to operate on all real-valued functions in A(s)(q) (T).