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001 9781498762618
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005 20220509193050.0
006 m o d
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008 190211s2019 flu ob 001 0 eng d
040 _aOCoLC-P
_beng
_erda
_epn
_cOCoLC-P
020 _a9780429524103
_q(electronic bk.)
020 _a0429524102
_q(electronic bk.)
020 _a9781498762618
_q(electronic bk.)
020 _a1498762611
_q(electronic bk.)
020 _a9780429537578
_q(electronic bk. : EPUB)
020 _a0429537573
_q(electronic bk. : EPUB)
020 _a9780429552274
_q(electronic bk. : Mobipocket)
020 _a0429552270
_q(electronic bk. : Mobipocket)
020 _z9781498762601
020 _z1498762603
035 _a(OCoLC)1085349139
035 _a(OCoLC-P)1085349139
050 4 _aQA323
_b.L36 2019eb
072 7 _aMAT
_x005000
_2bisacsh
072 7 _aMAT
_x034000
_2bisacsh
072 7 _aMAT
_x037000
_2bisacsh
072 7 _aMAT
_x007000
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072 7 _aPBK
_2bicssc
082 0 4 _a515/.73
_223
100 1 _aLang, Jan,
_eauthor.
245 1 0 _aAnalysis on function spaces of Musielak-Orlicz type /
_cJan Lang, Osvaldo Méndez.
264 1 _aBoca Raton, Florida :
_bCRC Press,
_c[2019]
300 _a1 online resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aChapman & Hall/CRC monographs and research notes in mathematics
505 0 _aCover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface; 1: A path to Musielak-Orlicz spaces; 1.1 Introduction; 1.2 Banach function spaces; 1.2.1 The associate space; 1.2.2 Absolute continuity of the norm and continuity of the norm; 1.2.3 Convexity, uniform convexity and smoothness of a norm; 1.2.4 Duality mappings and extremal elements; 1.3 Modular spaces; 1.3.1 Modular convergence and norm convergence; 1.3.2 Conjugate modulars and duality; 1.3.3 Modular uniform convexity; 1.4 The lpn sequence spaces and their properties; 1.4.1 Duality
505 8 _a2.6 Uniform convexity of Musielak-Orlicz spaces2.7 Carathéodory functions and Nemytskii operators on Musielak-Orlicz spaces; 2.8 Further properties of variable exponent spaces; 2.8.1 Duality maps on spaces of variable integrability; 2.9 The Matuszewska-Orlicz index of a Musielak-Orlicz space; 2.10 Historical notes; 3: Sobolev spaces of Musielak-Orlicz type; 3.1 Sobolev spaces: definition and basic properties; 3.1.1 Examples; 3.2 Separability; 3.3 Duality of Sobolev spaces of Musielak-Orlicz type; 3.4 Embeddings, compactness, Poincaré-type inequalities; 4: Applications
520 _aAnalysis on Function Spaces of Musielak-Orlicz Type provides a state-of-the-art survey on the theory of function spaces of Musielak-Orlicz type. The book also offers readers a step-by-step introduction to the theory of Musielak-Orlicz spaces, and introduces associated function spaces, extending up to the current research on the topic Musielak-Orlicz spaces came under renewed interest when applications to electrorheological hydrodynamics forced the particular case of the variable exponent Lebesgue spaces on to center stage. Since then, research efforts have typically been oriented towards carrying over the results of classical analysis into the framework of variable exponent function spaces. In recent years it has been suggested that many of the fundamental results in the realm of variable exponent Lebesgue spaces depend only on the intrinsic structure of the Musielak-Orlicz function, thus opening the door for a unified theory which encompasses that of Lebesgue function spaces with variable exponent. Features Gives a self-contained, concise account of the basic theory, in such a way that even early-stage graduate students will find it useful Contains numerous applications Facilitates the unified treatment of seemingly different theoretical and applied problems Includes a number of open problems in the area
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aFunction spaces.
650 0 _aGeneralized spaces.
650 7 _aMATHEMATICS / Calculus
_2bisacsh
650 7 _aMATHEMATICS / Mathematical Analysis
_2bisacsh
650 7 _aMATHEMATICS / Functional Analysis
_2bisacsh
650 7 _aMATHEMATICS / Differential Equations
_2bisacsh
700 1 _aMendez, Osvaldo
_q(Osvaldo David),
_eauthor.
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781498762618
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999 _c129153
_d129153