A Selberg integral formula and applications

DOI10.2140/PJM.1999.191.85zbMath1006.42017OpenAlexW1989843327MaRDI QIDQ1568884

Carlo Morpurgo, Loukas Grafakos

Publication date: 22 June 2000

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1999.191.85

zbMATH Keywords

Fourier transformvariational inequalityconformal invariance3-fold Selberg integral formulamultilinear fractional integral inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

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Sharp constants for a class of multilinear integral operators and some applications ⋮ Existence and non-existence results for the higher order Hardy-Hénon equations revisited ⋮ On multilinear Beckner systems ⋮ On a \(k\)-fold beta integral formula ⋮ Classifications of positive solutions to an integral system involving the multilinear fractional integral inequality ⋮ On some multilinear type integral systems ⋮ On the multilinear fractional integral operators with correlation kernels ⋮ Classification of nonnegative solutions to an equation involving the Laplacian of arbitrary order

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