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Some weighted Hardy and Rellich inequalities on the Heisenberg group - MaRDI portal

Some weighted Hardy and Rellich inequalities on the Heisenberg group (Q5856993)

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scientific article; zbMATH DE number 7329517

Language	Label	Description	Also known as
English	Some weighted Hardy and Rellich inequalities on the Heisenberg group	scientific article; zbMATH DE number 7329517

Statements

scholarly article

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Some weighted Hardy and Rellich inequalities on the Heisenberg group (English)

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International Journal of Mathematics

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publication date

30 March 2021

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zbMATH Keywords

higher-order weighted Hardy-Rellich inequality

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best constants

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MaRDI profile type

MaRDI publication profile

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GENERALIZED HARDY–RELLICH INEQUALITIES IN CRITICAL DIMENSION AND ITS APPLICATIONS

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An improved Hardy-Sobolev inequality and its application

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Some Hardy inequalities on the Heisenberg group

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On a class of Rellich inequalities

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A unified approach to improved $L^p$ Hardy inequalities with best constants

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Best constants for higher-order Rellich inequalities in \(L^{p}(\Omega )\)

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On some higher order Hardy-Rellich type inequalities with boundary terms

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Stratified Lie Groups and Potential Theory for their Sub-Laplacians

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An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem

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Explicit constants for Rellich inequalities in \(L_p(\Omega)\)

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A Hardy inequality with remainder terms in the Heisenberg group and the weighted eigenvalue problem

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Hardy inequalities and some critical elliptic and parabolic problems

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Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation

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Hardy inequalities with optimal constants and remainder terms

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Weighted Rellich inequality on \(H\)-type groups and nonisotropic Heisenberg groups

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Weighted Hardy and Rellich inequality on Carnot groups

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Some sharp Rellich type inequalities on nilpotent groups and applications

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Polynomials, higher order Sobolev extension theorems and interpolation inequalities on weighted Folland-Stein spaces on stratified groups

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Simultaneous representation and approximation formulas and high-order Sobolev embedded theorems on stratified groups

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Weighted Sobolev spaces of radially symmetric functions

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Hardy type and Rellich type inequalities on the Heisenberg group

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Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups

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Hardy inequalities on homogeneous groups. 100 years of Hardy inequalities

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Sub-elliptic global high order Poincaré inequalities in stratified Lie groups and applications

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Best constants in the Hardy-Rellich type inequalities on the Heisenberg group

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full work available at URL

https://doi.org/10.1142/s0129167x21500117

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Identifiers

zbMATH Open document ID

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10.1142/S0129167X21500117

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5856993

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