Maximal function methods for Sobolev spaces /

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.