• Corpus ID: 251594575

Distributional Fractional Gradients and a Bourgain-Brezis-type Estimate

  title={Distributional Fractional Gradients and a Bourgain-Brezis-type Estimate},
  author={J Wettstein},
In this paper, we extend the definition of fractional gradients found in Mazowiecka-Schikorra [6] to tempered distributions on R n , introduce associated regularisation procedures and establish some first regularity results for distributional fractional gradients in L 1 od . The key feature is the introduction of a suitable space of off-diagonal Schwarz functions S od ( R 2 n ), allowing for a dual definition of the fractional gradient on an appropriate space of distributions S ′ od ( R 2 n ) by… 



A T(1) Theorem for Fractional Sobolev Spaces on Domains

Given any uniform domain $$\Omega $$Ω, the Triebel–Lizorkin space $$F^s_{p,q}(\Omega )$$Fp,qs(Ω) with $$0<s<1$$0<s<1 and $$1<p,q<\infty $$1<p,q<∞ can be equipped with a norm in terms of first-order

A fractional version of Rivière’s GL(n)-gauge

We prove that for antisymmetric vector field Ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}

On the equation DIV Y = f and applications to control of phases

Capsules containing water-dispersible material are disclosed. They are formed from an admixture of low HLB emulsifier, oily water-immiscible solvent for the emulsifier urea-formaldehyde prepolymer

T.Rivière, J.Wettstein, Bergman-Bourgain-Brezis-type Inequality

  • J. Funct. Anal
  • 2021

Sobodeckij type semi-norm for Triebel-Lizorkin spaces