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Weighted Trudinger inequality associated with rough multilinear fractional type operators

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Publication:386694
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DOI10.1186/1029-242X-2012-179zbMath1288.26017WikidataQ59288589 ScholiaQ59288589MaRDI QIDQ386694

Han Feng, Qing Ying Xue

Publication date: 10 December 2013

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


zbMATH Keywords

Trudinger inequalityRiesz potential\(A_p\) weightsmultilinear fractional integral\(A_{p,q}\) weights


Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15)




Cites Work

  • Unnamed Item
  • New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
  • Weighted inequalities for multilinear fractional integral operators
  • Weighted estimates for a class of multilinear fractional type operators
  • A sharp inequality of J. Moser for higher order derivatives
  • A nonlinear inequality of Moser-Trudinger type
  • A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
  • The \(L^{p_ 1} \times L^{p_ 2} \times \cdots \times L^{p_ k}\) boundedness for some rough operators
  • Multilinear Calderón–Zygmund operators on weighted Hardy spaces
  • On a Sharp Inequality Concerning the Dirichlet Integral
  • On the sharpness of a limiting case of the Sobolev imbedding theorem
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