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...
Đã lưu trong:
| Những tác giả chính: | , , , |
|---|---|
| Tác giả của công ty: | |
| Định dạng: | Điện tử eBook |
| Ngôn ngữ: | Tiếng Anh |
| Được phát hành: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2024.
|
| Phiên bản: | 1st ed. 2024. |
| Loạt: | Operator Theory: Advances and Applications,
298 |
| Những chủ đề: | |
| Truy cập trực tuyến: | https://doi.org/10.1007/978-3-031-64983-7 |
| Các nhãn: |
Thêm thẻ
Không có thẻ, Là người đầu tiên thẻ bản ghi này!
|
| Tóm tắt: | 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. |
|---|---|
| Mô tả vật lý: | 1 online resource (XIV, 510 p.). |
| số ISBN: | 9783031649837 |
| số ISSN: | 2296-4878 ; |
| DOI: | 10.1007/978-3-031-64983-7 |