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\(L^{p}\) Hardy type inequality in the half-space on the H-type group

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Publication:281263
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DOI10.1186/s13660-016-1070-8zbMath1355.26027OpenAlexW2344488503WikidataQ59467480 ScholiaQ59467480MaRDI QIDQ281263

Mingkai Yin, Jianxun He

Publication date: 10 May 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1070-8

zbMATH Keywords

Green functionHardy-type inequalityH-type group


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)


Related Items

On complex H-type Lie algebras



Cites Work

  • Unnamed Item
  • A Hardy type inequality in the half-space on \(\mathbb R^n\) and Heisenberg group
  • Fourier analysis on the Heisenberg group. I. Schwartz space
  • Harmonic analysis on the Heisenberg group
  • A geometrical version of Hardy's inequality
  • A Hardy inequality in the half-space
  • Singular convolution operators on the Heisenberg group
  • Harmonic Analysis in Phase Space. (AM-122)
  • Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
  • A unified approach to improved $L^p$ Hardy inequalities with best constants
  • A fundamental solution for a subelliptic operator
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