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Real-Variable Theory of Musielak-Orlicz Hardy Spaces

Real-Variable Theory of Musielak-Orlicz Hardy Spaces

Paperback

Series: Lecture Notes in Mathematics, Book 2182

General Mathematics

ISBN10: 3319543601
ISBN13: 9783319543604
Publisher: Springer Nature
Published: May 10 2017
Pages: 468
Weight: 1.48
Height: 0.97 Width: 6.14 Depth: 9.21
Language: English

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.

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General Mathematics