001461127 000__ 04053cam\a22006017a\4500
001461127 001__ 1461127
001461127 003__ OCoLC
001461127 005__ 20230502014306.0
001461127 006__ m\\\\\o\\d\\\\\\\\
001461127 007__ cr\un\nnnunnun
001461127 008__ 230308s2022\\\\sz\\\\\\ob\\\\001\0\eng\d
001461127 020__ $$a9783031137181$$q(electronic bk.)
001461127 020__ $$a3031137183$$q(electronic bk.)
001461127 020__ $$z3031137175
001461127 020__ $$z9783031137174
001461127 0247_ $$a10.1007/978-3-031-13718-1$$2doi
001461127 035__ $$aSP(OCoLC)1371791514
001461127 040__ $$aYDX$$beng$$cYDX$$dGW5XE$$dUKAHL$$dOCLCF
001461127 049__ $$aISEA
001461127 050_4 $$aQA403
001461127 08204 $$a515/.2433$$223/eng/20230308
001461127 1001_ $$aMitrea, Dorina,$$d1965-$$eauthor.
001461127 24510 $$aGeometric harmonic analysis.$$nII,$$pFunction spaces measuring size and smoothness on rough sets /$$cDorina Mitrea, Irina Mitrea, Marius Mitrea.
001461127 24630 $$aFunction spaces measuring size and smoothness on rough sets
001461127 2463_ $$aGeometric harmonic analysis 2
001461127 260__ $$aCham :$$bSpringer,$$c2022.
001461127 300__ $$a1 online resource
001461127 4901_ $$aDevelopments in mathematics,$$x2197-795X ;$$vv. 73
001461127 504__ $$aIncludes bibliographical references and indexes.
001461127 5050_ $$a1 Preliminary Functional Analytic Matters -- 2 Abstract Fredholm Theory -- 3 Functions of Vanishing Mean Oscillations and Vanishing Hlder Moduli -- 4 Hardy Spaces on Ahlfors Regular Sets -- 5 Banach Function Spaces, Extrapolation, and Orlicz Spaces -- 6 Morrey-Campanato Spaces, Morrey Spaces, and Their Pre-Duals on Ahlfors Regular Sets -- 7 Besov and Triebel-Lizorkin Spaces on Ahlfors Regular Sets -- 8 Boundary Traces from Weighted Sobolev Spaces into Besov Spaces -- 9 Besov and Triebel-Lizorkin Spaces in Open Sets -- 10 Strong and Weak Normal Boundary Traces of Vector Fields in Hardy and Morrey Spaces -- 11 Sobolev Spaces on the Geometric Measure Theoretic Boundary of Sets of Locally Finite Perimeter -- A. Terms and Notation Used in Volume II. References -- Index.
001461127 506__ $$aAccess limited to authorized users.
001461127 520__ $$aThis monograph is part of a larger program, materializing in five volumes, whose principal aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. Volume II is concerned with function spaces measuring size and/or smoothness, such as Hardy spaces, Besov spaces, Triebel-Lizorkin spaces, Sobolev spaces, Morrey spaces, Morrey-Campanato spaces, spaces of functions of Bounded Mean Oscillations, etc., in general geometric settings. Work here also highlights the close interplay between differentiability properties of functions and singular integral operators. The text is intended for researchers, graduate students, and industry professionals interested in harmonic analysis, functional analysis, geometric measure theory, and function space theory.
001461127 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 8, 2023).
001461127 650_0 $$aHarmonic analysis.
001461127 655_0 $$aElectronic books.
001461127 7001_ $$aMitrea, Irina,$$eauthor.
001461127 7001_ $$aMitrea, Marius,$$eauthor.
001461127 77608 $$iPrint version: $$z3031137175$$z9783031137174$$w(OCoLC)1334717667
001461127 830_0 $$aDevelopments in mathematics ;$$vv. 73.$$x2197-795X
001461127 852__ $$bebk
001461127 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-13718-1$$zOnline Access$$91397441.1
001461127 909CO $$ooai:library.usi.edu:1461127$$pGLOBAL_SET
001461127 980__ $$aBIB
001461127 980__ $$aEBOOK
001461127 982__ $$aEbook
001461127 983__ $$aOnline
001461127 994__ $$a92$$bISE