Integral operators in non-standard function spaces. Volume 2, Variable exponent Holder, Morrey--Campanato and grand spaces

• 作者： Kokilashvili, Vakhtang, author.
• 其他作者：
  • Meskhi, Alexander, author.
  • Rafeiro, Humberto, author.
  • Samko, Stefan, author.
  • SpringerLink (Online service)
• 其他題名：
  • Variable exponent Holder, Morrey--Campanato and grand spaces
  • Operator theory: advances and applications ;
• 出版： Cham : Springer International Publishing :Imprint: Birkhauser
• 叢書名： Operator theory: advances and applications,volume 249
• 主題： Integral operators. , Algebraic spaces. , Mathematics. , Operator Theory. , Functional Analysis.
• ISBN： 9783319210186 (electronic bk.) 、 9783319210179 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: IV: Grand Lebesgue Spaces -- 14 Maximal Functions and Potentials -- 15 Grand Lebesgue Spaces on Sets with Infinite Measure -- V: Grand Morrey Spaces -- 16 Maximal Functions, Fractional and Singular Integrals -- 17 Multiple Operators on the Cone of Decreasing Functions -- A: Grand Bochner Spaces -- Bibliography -- Symbol Index -- Subject Index.IV: Grand Lebesgue Spaces -- 14 Maximal Functions and Potentials -- 15 Grand Lebesgue Spaces on Sets with Infinite Measure -- V: Grand Morrey Spaces -- 16 Maximal Functions, Fractional and Singular Integrals -- 17 Multiple Operators on the Cone of Decreasing Functions -- A: Grand Bochner Spaces -- Bibliography -- Symbol Index -- Subject Index.
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• 摘要註: This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Holder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them. The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book's most distinctive features is that the majority of the statements proved here are in the form of criteria. The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.
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