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020 _a9783031649837
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024 7 _a10.1007/978-3-031-64983-7
_2doi
050 4 _aQA329-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
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072 7 _aPBKF
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100 1 _aKokilashvili, Vakhtang.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_986214
245 1 0 _aIntegral Operators in Non-Standard Function Spaces
_h[electronic resource] :
_bVolume 3: Advances in Grand Function Spaces /
_cby Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aXIV, 510 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aOperator Theory: Advances and Applications,
_x2296-4878 ;
_v298
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 _aThe 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.
650 0 _aOperator theory.
650 0 _aFunctional analysis.
650 1 4 _aOperator Theory.
650 2 4 _aFunctional Analysis.
700 1 _aMeskhi, Alexander.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_986215
700 1 _aRafeiro, Humberto.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_941250
700 1 _aSamko, Stefan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_986216
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031649820
776 0 8 _iPrinted edition:
_z9783031649844
776 0 8 _iPrinted edition:
_z9783031649851
830 0 _aOperator Theory: Advances and Applications,
_x2296-4878 ;
_v298
_974617
856 4 0 _uhttps://doi.org/10.1007/978-3-031-64983-7
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c64288
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