Real-Variable Theory of Musielak-Orlicz Hardy Spaces / by Dachun Yang, Yiyu Liang, Luong Dang Ky.

Format:

Book

Author/Creator:

Yang, Dachun., Author.

Liang, Yiyu., Author.

Ky, Luong Dang., Author.

Series:

Lecture Notes in Mathematics, 1617-9692 ; 2182

Language:

English

Subjects (All):

Fourier analysis.

Functional analysis.

Operator theory.

Functions of real variables.

Fourier Analysis.

Functional Analysis.

Operator Theory.

Real Functions.

Local Subjects:

Fourier Analysis.

Functional Analysis.

Operator Theory.

Real Functions.

Physical Description:

1 online resource (XIII, 468 p. 1 illus.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2017.

Summary:

The main purpose of this book is to give a detailed and complete survey of recent progress related to the real-variable theory of Musielak–Orlicz Hardy-type function spaces, and to lay the foundations for further applications. The real-variable theory of function spaces has always been at the core of harmonic analysis. Recently, motivated by certain questions in analysis, some more general Musielak–Orlicz Hardy-type function spaces were introduced. These spaces are defined via growth functions which may vary in both the spatial variable and the growth variable. By selecting special growth functions, the resulting spaces may have subtler and finer structures, which are necessary in order to solve various endpoint or sharp problems. This book is written for graduate students and researchers interested in function spaces and, in particular, Hardy-type spaces.

Notes:

Includes bibliographical references and index.

ISBN:

3-319-54361-X

OCLC:

987492475