Geometric Harmonic Analysis II Function Spaces Measuring Size and Smoothness on Rough Sets
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...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2022, 2022
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| Edition: | 1st ed. 2022 |
| Series: | Developments in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1 Preliminary Functional Analytic Matters
- 2 Abstract Fredholm Theory
- 3 Functions of Vanishing Mean Oscillations and Vanishing Hölder Moduli
- 4 Hardy Spaces on Ahlfors Regular Sets
- 5 Banach Function Spaces, Extrapolation, and Orlicz Spaces
- 6 Morrey-Campanato Spaces, Morrey Spaces, and Their Pre-Duals on Ahlfors Regular Sets
- 7 Besov and Triebel-Lizorkin Spaces on Ahlfors Regular Sets
- 8 Boundary Traces from Weighted Sobolev Spaces into Besov Spaces
- 9 Besov and Triebel-Lizorkin Spaces in Open Sets
- 10 Strong and Weak Normal Boundary Traces of Vector Fields in Hardy and Morrey Spaces
- 11 Sobolev Spaces on the Geometric Measure Theoretic Boundary of Sets of Locally Finite Perimeter
- A. Terms and Notation Used in Volume II. References
- Index