A multilinear Schur test and multiplier operators

DOI10.1006/jfan.2001.3804zbMath0994.47028OpenAlexW2090947187WikidataQ61611374 ScholiaQ61611374MaRDI QIDQ5953423

Rodolfo H. Torres, Loukas Grafakos

Publication date: 1 October 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3804

zbMATH Keywords

waveletssingular integralsBesov spacespseudodifferential operatorsmultilinear operatorslittlewood-Paley theorySchurs testSobolev Spacewawelet discretization of bilinear operators

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators on function spaces (general) (47B38) Multilinear and polynomial operators (47H60) Pseudodifferential operators (47G30) Kernel operators (47B34)

Related Items

On two-dimensional bilinear inequalities with rectangular Hardy operators in weighted Lebesgue spaces ⋮ Sharp constants for a class of multilinear integral operators and some applications ⋮ Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions ⋮ Bilinear Fourier integral operators ⋮ Multilinear duality and factorisation for Brascamp-Lieb-type inequalities ⋮ On bilinear weighted inequalities on the cone of nondecreasing functions ⋮ Multilinear Schur-type tests and boundedness of multilinear Bergman-type operators ⋮ Weighted bilinear Hardy inequalities ⋮ Unnamed Item ⋮ Bilinear Hardy-Steklov operators ⋮ Boundedness of multilinear pseudo-differential operators on modulation spaces ⋮ Bilinear weighted inequalities with two-dimensional operators ⋮ Discrete decompositions for bilinear operators and almost diagonal conditions ⋮ Best constants for certain multilinear integral operators ⋮ Multidimensional bilinear Hardy inequalities ⋮ Multidimensional bilinear Hardy inequalities ⋮ On the boundedness of bilinear operators on products of Besov and Lebesgue spaces ⋮ Bilinear weighted inequalities with Volterra integral operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A discrete transform and decompositions of distribution spaces
• Positive multilinear operators acting on weighted \(L^p\) spaces
• On spaces of potentials connected with \(L^ p\) classes
• Discrete decompositions for bilinear operators and almost diagonal conditions
• Bilinear operators and the Jacobian-determinant on Besov spaces
• On Integral Transformations With Positive Kernel
• Norms of Positive Operators on L p -Spaces
• Boundedness of Bergman projections on tube domains over light cones