عنوان

Theory of Besov spaces /

شابک

9789811308369

شابک

9811308365

شابک اشتباه

9789811308352

شابک اشتباه

9811308357

عنوان اصلي

Theory of Besov spaces /

نام عام مواد

[Book]

نام نخستين پديدآور

Yoshihiro Sawano.

محل نشرو پخش و غیره

Singapore :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2018.

نام خاص و کميت اثر

1 online resource (xxiii, 945 pages) :

ساير جزييات

illustrations

عنوان فروست

Developments in mathematics,

مشخصه جلد

volume 56

شاپا ي ISSN فروست

1389-2177 ;

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

An introduction to Besov spaces -- Fundamental facts of harmonic analysis -- Besov space, TriebelLizorkinspaces -- Relation with other function spaces -- Theory of decomposition and its applications -- Applications to partial differential equations and the T1 theorem.

بدون عنوان

0

متن يادداشت

This is a self-contained textbook of the theory of Besov spaces and Triebel-Lizorkin spaces oriented toward applications to partial differential equations and problems of harmonic analysis. These include a priori estimates of elliptic differential equations, the T1 theorem, pseudo-differential operators, the generator of semi-group and spaces on domains, and the Kato problem. Various function spaces are introduced to overcome the shortcomings of Besov spaces and Triebel-Lizorkin spaces as well. The only prior knowledge required of readers is familiarity with integration theory and some elementary functional analysis. Illustrations are included to show the complicated way in which spaces are defined. Owing to that complexity, many definitions are required. The necessary terminology is provided at the outset, and the theory of distributions, Lp spaces, the Hardy-Littlewood maximal operator, and the singular integral operators are called upon. One of the highlights is that the proof of the Sobolev embedding theorem is extremely simple. There are two types for each function space: a homogeneous one and an inhomogeneous one. The theory of function spaces, which readers usually learn in a standard course, can be readily applied to the inhomogeneous one. However, that theory is not sufficient for a homogeneous space; it needs to be reinforced with some knowledge of the theory of distributions. This topic, however subtle, is also covered within this volume. Additionally, related function spaces--Hardy spaces, bounded mean oscillation spaces, and Hölder continuous spaces--are defined and discussed, and it is shown that they are special cases of Besov spaces and Triebel-Lizorkin spaces.--

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9789811308369

عنوان

Theory of Besov spaces.

شماره استاندارد بين المللي کتاب و موسيقي

9789811308352

موضوع مستند نشده

Besov spaces.

موضوع مستند نشده

Besov spaces.

موضوع مستند نشده

MAT034000

موضوع مستند نشده

PBKF

موضوع مستند نشده

PBKF

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Sawano, Yoshihiro

تاريخ عمليات

20200823224215.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y