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Maximal Function Methods for Sobolev Spaces
About this Title
Juha Kinnunen, Aalto University, Aalto, Finland, Juha Lehrbäck, University of Jyväskylä, Jyväskylä, Finland and Antti Vähäkangas, University of Jyväskylä, Jyväskylä, Finland
Publication: Mathematical Surveys and Monographs
Publication Year:
2021; Volume 257
ISBNs: 978-1-4704-6575-9 (print); 978-1-4704-6660-2 (online)
DOI: https://doi.org/10.1090/surv/257
Table of Contents
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Front/Back Matter
Chapters
- Maximal functions
- Lipschitz and Sobolev functions
- Sobolev and Poincaré inequalities
- Pointwise inequalities for Sobolev functions
- Capacities and fine properties of Sobolev functions
- Hardy’s inequalities
- Density conditions
- Muckenhoupt weights
- Weighted maximal and Poincaré inequalities
- Distance weights and Hardy–Sobolev inequalities
- The $p$-Laplace equation
- Stability results for the $p$-Laplace equation
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