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Geometric Harmonic Analysis II : Function Spaces Measuring Size and Smoothness on Rough Sets by Dorina Mitrea, Irina Mitrea, Marius Mitrea is a nonfiction available to read on EtoBox.

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Main subject categories: • Functional analysis • Geometry • TopologyMathematics Subject Classification: 32A Holomorphic functions of several complex variables • 26B20 Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) • 31B Higher-dimensional potential theory • 35J Elliptic equations and elliptic systems • 42B Harmonic analysis in several variablesThis 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

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Author

Dorina Mitrea, Irina Mitrea, Marius Mitrea

Publisher

Springer, Springer Nature Switzerland AG

Published

2022

Language

EN

ISBN

9783031137174

Category

nonfiction

Subjects

Mathematics, Functional Analysis, Stem