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Maximal function methods for Sobolev spaces /

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.

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