£85.37

Maximal Function Methods for Sobolev Spaces (Mathematical Surveys and Monographs)

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£115.00 £82.02 £89.22 £96.41 £103.61 £110.80 £118.00 02 August 2024 26 December 2024 21 May 2025 14 October 2025 09 March 2026

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Description

This book discusses advances in maximal function methods related to Poincaré and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's inequalities, and partial differential equations. Capacities are needed for fine properties of Sobolev functions and characterization of Sobolev spaces with zero boundary values. The authors consider several uniform quantitative conditions that are self-improving, such as Hardy's inequalities, capacity density conditions, and reverse Hölder inequalities. They also study Muckenhoupt weight properties of distance functions and combine these with weighted norm inequalities; notions of dimension are then used to characterize density conditions and to give sufficient and necessary conditions for Hardy's inequalities. At the end of the book, the theory of weak solutions to the p -Laplace equation and the use of maximal function techniques is this context are discussed. The book is directed to researchers and graduate students interested in applications of geometric and harmonic analysis in Sobolev spaces and partial differential equations.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 August 2022
Listed Since
23 August 2021

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