Maximal function methods for Sobolev spaces /

Maximal function methods for Sobolev spaces / Juha Kinnunen, Juha Lehrbäck, Antti Vähäkangas.

"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...

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Bibliographic Details
Main Authors: Kinnunen, Juha (Author), Lehrbäck, Juha (Juha Tapio), 1979- (Author), Vähäkangas, Antti V. (Author)
Format: Book
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2021]
Series:Mathematical surveys and monographs ; no. 257.
Subjects:
Sobolev spaces.
Maximal functions.
Inequalities (Mathematics)
Harmonic analysis on Euclidean spaces > Harmonic analysis in several variables > Maximal functions, Littlewood-Paley theory.
Functional analysis > Linear function spaces and their duals > Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems.
Real functions > Inequalities > Inequalities involving derivatives and differential and integral operators.
Measure and integration > Classical measure theory > Contents, measures, outer measures, capacities.
Potential theory > Higher-dimensional theory > Potentials and capacities, extremal length and related notions in higher dimensions.
Partial differential equations > General topics in partial differential equations > Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals.
Partial differential equations > Elliptic equations and systems > Quasilinear elliptic equations with $p$-Laplacian.
Harmonic analysis on Euclidean spaces > Harmonic analysis in several variables > Harmonic analysis and PDE.

Closed Stacks - Engineering Math & Physics Library - Stacks

Holdings details from Closed Stacks - Engineering Math & Physics Library - Stacks
Call Number: QA323 .K56 2021
QA323 .K56 2021 Available Place a Hold

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