EAN: 9783319543604

REAL-VARIABLE THEORY OF MUSIELAK-ORLICZ HARDY S...

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.

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