INEQUALITIES ASSOCIATED WITH DILATIONS

DOI10.1142/S0219199709003351zbMath1179.26057MaRDI QIDQ3636106

Hironobu Sasaki, Tohru Ozawa

Publication date: 30 June 2009

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

inequalitiesSobolev's inequalityPoincaré's inequalityHardy's inequalitygenerator of semi-group of dilations

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (10)

Uncertainty relations in the framework of equalities ⋮ Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups ⋮ Remarks on the Rellich inequality ⋮ Hardy type inequalities on balls ⋮ Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups ⋮ Sharp remainder of the Poincaré inequality ⋮ Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces ⋮ Sobolev type inequalities, Euler-Hilbert-Sobolev and Sobolev-Lorentz-Zygmund spaces on homogeneous groups ⋮ Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups ⋮ Scaling invariant Hardy inequalities of multiple logarithmic type on the whole space

Cites Work

• Hardy inequalities and some critical elliptic and parabolic problems
• Elliptic Partial Differential Equations of Second Order
• Sur une inégalité de type Poincaré

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