Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms
type: Item
instance of: scholarly article
title: Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms
zbMATH Open document ID: 1307.46027
published in: Journal of Mathematical Sciences (New York)
publication date: 2014-11-03T00:00:00Z
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 6363680
zbMATH Keywords: Sobolev-type inequalities
zbMATH Keywords: Lorentz norms
zbMATH Keywords: fractional derivative
author: Jie Xiao
author: Zhichun Zhai
MaRDI profile type: Publication
full work available at URL: s10958-010-9872-6
OpenAlex ID: W2149229637
cites work: On logarithmic Sobolev inequalities for higher order fractional derivatives
cites work: Logarithmic Sobolev Inequalities
cites work: Geometric asymptotics and the logarithmic Sobolev inequality
cites work: Superadditivity of Fisher's information and logarithmic Sobolev inequalities
cites work: Logarithmic Sobolev Inequalities for the Heat-Diffusion Semigroup
cites work: On Sharp Sobolev Embedding and The Logarithmic Sobolev Inequality
cites work: Best constants for Sobolev inequalities for higher order fractional derivatives
cites work: Q4858060
cites work: Problèmes isoperimetriques et espaces de Sobolev
cites work: Q4398855
cites work: Sobolev inequalities in disguise
cites work: The 𝐴𝐵 program in geometric analysis: sharp Sobolev inequalities and related problems
cites work: Q3531572
cites work: Q4953998
cites work: Analysis.
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: Aspects of Sobolev-type inequalities
cites work: A sharp Sobolev trace inequality for the fractional-order derivatives
cites work: Homothetic variant of fractional Sobolev space with application to Navier-Stokes system
cites work: The sharp Sobolev and isoperimetric inequalities split twice
cites work: Q4782579
cites work: On L(p,q) spaces
cites work: Convolution operators and L(p, q) spaces
cites work: Q5640160
cites work: Espaces d'interpolation et théorème de Soboleff
cites work: A sharp inequality of J. Moser for higher order derivatives
cites work: Moser-type inequalities in Lorentz spaces
cites work: On optimization problems with prescribed rearrangements
cites work: Symmetrization in a class of first-order Hamilton- Jacobi equations
cites work: Moser type inequalities for higher-order derivatives in Lorentz spaces
cites work: A proof of Trudinger's inequality and its application to nonlinear Schrödinger equations
cites work: Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
cites work: Q4505553
cites work: Upper bound of the best constant of the Trudinger-Moser inequality and its application to the Gagliardo-Nirenberg inequality
cites work: Q4839442
cites work: Density estimation with heteroscedastic error
cites work: Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
cites work: Logarithmic Sobolev trace inequality
cites work: Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
cites work: Q3818662
cites work: Moser--Trudinger trace inequalities
DOI: 10.1007/S10958-010-9872-6
description: scientific article; zbMATH DE number 6363680