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Maximal function methods for Sobolev spaces / by Kinnunen, Juha, Lehrbäck, Juha (Juha Tapio), 1979-, Vähäkangas, Antti V.
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Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems
Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDE
Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Maximal functions, Littlewood-Paley theory
Inequalities (Mathematics)
Maximal functions
Measure and integration -- Classical measure theory -- Contents, measures, outer measures, capacities
Partial differential equations -- Elliptic equations and systems -- Quasilinear elliptic equations with $p$-Laplacian
Partial differential equations -- General topics in partial differential equations -- Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals
Potential theory -- Higher-dimensional theory -- Potentials and capacities, extremal length and related notions in higher dimensions
Real functions -- Inequalities -- Inequalities involving derivatives and differential and integral operators
Sobolev spaces