Geometric Harmonic Analysis II: Function Spaces Measuring Size and Smoothness on Rough Sets: 73 (Developments in Mathematics, 73) - Softcover

Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius

 
9783031137204: Geometric Harmonic Analysis II: Function Spaces Measuring Size and Smoothness on Rough Sets: 73 (Developments in Mathematics, 73)

Synopsis

This monograph is part of a larger program, materializing in five volumes, whose principal aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings.

Volume II is concerned with function spaces measuring size and/or smoothness, such as Hardy spaces, Besov spaces, Triebel-Lizorkin spaces, Sobolev spaces, Morrey spaces, Morrey-Campanato spaces, spaces of functions of Bounded Mean Oscillations, etc., in general geometric settings. Work here also highlights the close interplay between differentiability properties of functions and singular integral operators. The text is intended for researchers, graduate students, and industry professionals interested in harmonic analysis, functional analysis, geometric measure theory, and function space theory.


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From the Back Cover

This monograph is part of a larger program, materializing in five volumes, whose principal aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings.

Volume II is concerned with function spaces measuring size and/or smoothness, such as Hardy spaces, Besov spaces, Triebel-Lizorkin spaces, Sobolev spaces, Morrey spaces, Morrey-Campanato spaces, spaces of functions of Bounded Mean Oscillations, etc., in general geometric settings. Work here also highlights the close interplay between differentiability properties of functions and singular integral operators. The text is intended for researchers, graduate students, and industry professionals interested in harmonic analysis, functional analysis, geometric measure theory, and function space theory.


"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783031137174: Geometric Harmonic Analysis II: Function Spaces Measuring Size and Smoothness on Rough Sets: 73 (Developments in Mathematics, 73)

Featured Edition

ISBN 10:  3031137175 ISBN 13:  9783031137174
Publisher: Springer, 2023
Hardcover