Hardy-Littlewood inequalities for fractional derivatives of invariant harmonic functions

DOI10.1007/s11785-010-0123-0zbMath1277.26044OpenAlexW2001518808WikidataQ58038889 ScholiaQ58038889MaRDI QIDQ371660

Uwe Kaehler, Cong Wen Liu, Ji Huai Shi, Guang Bin Ren

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-010-0123-0

zbMATH Keywords

invariant harmonic functionsnormal functionsmixed-norm spacesHardy-Littlewood inequalities

Mathematics Subject Classification ID

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

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Cites Work

• The spaces \(L^ p\), with mixed norm
• Inequalities for the gradient of eigenfunctions of the invariant Laplacian in the unit ball
• Bergman type operator on mixed norm spaces with applications
• Decompositions of \(L^p\) and Hardy spaces of polyharmonic functions
• Harmonic Bergman spaces with small exponents in the unit ball
• Boundary behavior of Gleason's problem in hyperbolic harmonic Bergman spaces
• Harmonic functions on the real hyperbolic ball II Hardy-Sobolev and Lipschitz spaces
• On Hardy, BMO and Lipschitz spaces of invariantly harmonic functions in the unit ball
• Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces
• Radial derivative on bounded symmetric domains
• H^p-theory for generalized M-harmonic functions in the unit ball
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