On Choquet integrals and Sobolev type inequalities

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities on other spaces (31C15) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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Hausdorff content and the Hardy-Littlewood maximal operator on metric measure spaces
Abstract dyadic cubes, maximal operators and Hausdorff content
Morrey spaces in harmonic analysis
Morrey spaces
A note on dyadic Hausdorff capacities
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Non-additive measure and integral
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Rotation and strain
Weakly Differentiable Functions
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On Certain Convolution Inequalities
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A boxing Inequality for the fractional perimeter
FRACTIONAL SOBOLEV–POINCARÉ AND FRACTIONAL HARDY INEQUALITIES IN UNBOUNDED JOHN DOMAINS
Estimates for the variable order Riesz potential with applications
Some remarks on capacitary integrals and measure theory
Capacitary maximal inequalities and applications
Convergence in measure theorems of the Choquet integral revisited
On functions of bounded \(\beta\)-dimensional mean oscillation

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