Integral Operators in Non-Standard Function Spaces Volume 3: Advances in Grand Function Spaces /
The present monograph serves as a natural extension of the prior 2-volume monograph with the same title and by the same authors, which encompassed findings up until 2014. This four-volume project encapsulates the authors’ decade-long research in the trending topic of nonstandard function spaces and...
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| 格式: | 电子 电子书 |
| 语言: | 英语 |
| 出版: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2024.
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| 版: | 1st ed. 2024. |
| 丛编: | Operator Theory: Advances and Applications,
298 |
| 主题: | |
| 在线阅读: | https://doi.org/10.1007/978-3-031-64983-7 |
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| 100 | 1 | |a Kokilashvili, Vakhtang. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Integral Operators in Non-Standard Function Spaces |h [electronic resource] : |b Volume 3: Advances in Grand Function Spaces / |c by Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Birkhäuser, |c 2024. | |
| 300 | |a 1 online resource (XIV, 510 p.). | ||
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| 490 | 1 | |a Operator Theory: Advances and Applications, |x 2296-4878 ; |v 298 | |
| 505 | 0 | |a - 18. Integral Operators on Weighted Grand Lebesgue Spaces (WGLS) -- 19. Integral Operators in Grand Mixed-Normed Function Spaces -- 20. Grand Variable Exponent Function Spaces -- 21. Extrapolation in Grand Function Spaces -- 22. Grand Variable Haj lasz–Sobolev and Hölder Spaces -- 23. Grand Lebesgue Type Spaces. | |
| 520 | |a The present monograph serves as a natural extension of the prior 2-volume monograph with the same title and by the same authors, which encompassed findings up until 2014. This four-volume project encapsulates the authors’ decade-long research in the trending topic of nonstandard function spaces and operator theory. One of the main novelties of the present book is to develop the extrapolation theory, generally speaking, in grand Banach function spaces, and to apply it for obtaining the boundedness of fundamental operators of harmonic analysis, in particular, function spaces such as grand weighted Lebesgue and Lorentz spaces, grand variable exponent Lebesgue/Morrey spaces, mixed normed function spaces, etc. Embeddings in grand variable exponent Hajłasz-Sobolev spaces are also studied. Some applications to the approximation theory and boundary value problems of analytic functions are presented as well. The book is aimed at an audience ranging from researchers in operator theory and harmonic analysis to experts in applied mathematics and post graduate students. In particular, we hope that this book will serve as a source of inspiration for researchers in abstract harmonic analysis, function spaces, PDEs and boundary value problems. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 1 | 4 | |a Operator Theory. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 700 | 1 | |a Meskhi, Alexander. |e author. |0 (orcid)0000-0001-7984-4019 |1 https://orcid.org/0000-0001-7984-4019 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Rafeiro, Humberto. |e author. |0 (orcid)0000-0002-5304-8572 |1 https://orcid.org/0000-0002-5304-8572 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Samko, Stefan. |e author. |0 (orcid)0000-0002-8022-2863 |1 https://orcid.org/0000-0002-8022-2863 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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| 830 | 0 | |a Operator Theory: Advances and Applications, |x 2296-4878 ; |v 298 | |
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