Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces
From MaRDI portal
Publication:2441908
DOI10.1186/1029-242X-2013-381zbMath1297.46028OpenAlexW2149033745WikidataQ59303087 ScholiaQ59303087MaRDI QIDQ2441908
Tohru Ozawa, Shuji Machihara, Hidemitsu Wadade
Publication date: 28 March 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1029-242x-2013-381
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (7)
Fourier transform and regularity of characteristic functions ⋮ Optimal embeddings of critical Sobolev–Lorentz–Zygmund spaces ⋮ Some variants of the Hardy inequality ⋮ Notes on the paper entitled `Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces' ⋮ Remarks on the Rellich inequality ⋮ Extremal functions of generalized critical Hardy inequalities ⋮ Hardy type inequalities in \(L^{p}\) with sharp remainders
Cites Work
- Characterization of the critical Sobolev space on the optimal singularity at the origin
- Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
- Hardy inequalities and some critical elliptic and parabolic problems
- Sharp embeddings of Besov-type spaces
- Convolution operators and L(p, q) spaces
- Strongly singular potentials and essential self-adjointness of singular elliptic operators in \(C^\infty_0(\mathbb{R}^n\setminus\{0\})\)
- An improved Hardy-Sobolev inequality and its application
- Explicit formulas for optimal rearrangement-invariant norms in Sobolev imbedding inequalities
- Upper bound of the best constant of the Trudinger-Moser inequality and its application to the Gagliardo-Nirenberg inequality
- Optimal Sobolev imbedding spaces
- INEQUALITIES ASSOCIATED WITH DILATIONS
- Hardy Inequalities with Mixed Norms
This page was built for publication: Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces
