Analysis on function spaces of Musielak-Orlicz type /
نام عام مواد
[Book]
نام نخستين پديدآور
Jan Lang, Osvaldo Méndez.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Boca Raton, Florida :
نام ناشر، پخش کننده و غيره
CRC Press,
تاریخ نشرو بخش و غیره
[2019]
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource
فروست
عنوان فروست
Chapman & Hall/CRC monographs and research notes in mathematics
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and indexes.
یادداشتهای مربوط به مندرجات
متن يادداشت
Cover; 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
متن يادداشت
2.6 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
بدون عنوان
0
بدون عنوان
8
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
Analysis 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
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Analysis on function spaces of Musielak-Orlicz type.
شماره استاندارد بين المللي کتاب و موسيقي
9781498762601
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Function spaces.
موضوع مستند نشده
Generalized spaces.
موضوع مستند نشده
Function spaces.
موضوع مستند نشده
Generalized spaces.
موضوع مستند نشده
MATHEMATICS-- Calculus.
موضوع مستند نشده
MATHEMATICS-- Differential Equations.
موضوع مستند نشده
MATHEMATICS-- Functional Analysis.
موضوع مستند نشده
MATHEMATICS-- Mathematical Analysis.
مقوله موضوعی
موضوع مستند نشده
MAT-- 005000
موضوع مستند نشده
MAT-- 007000
موضوع مستند نشده
MAT-- 034000
موضوع مستند نشده
MAT-- 037000
موضوع مستند نشده
PBK
رده بندی ديویی
شماره
515/
.
73
ويراست
23
رده بندی کنگره
شماره رده
QA323
نشانه اثر
.
L36
2019eb
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )