Restricted convolution inequalities, multilinear operators and applications

DOI10.4310/MRL.2013.v20.n4.a6zbMath1287.42008arXiv1209.6574OpenAlexW2962702488MaRDI QIDQ2449419

Eyvindur Ari Palsson, Allan Greenleaf, Dan-Andrei Geba, Alexander Iosevich, Eric T. Sawyer

Publication date: 8 May 2014

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6574

zbMATH Keywords

Fourier transformheat equationwave equationconvolutionmultilinear operatorsSobolev trace inequalitiesStein's spherical maximal theorem\(m\)-linear oscillatory integral operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) 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) Heat equation (35K05) Wave equation (35L05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (13)

The triangle averaging operator ⋮ Discrete multilinear maximal functions and number theory ⋮ Bilinear maximal functions associated with degenerate surfaces ⋮ Sparse bounds for the bilinear spherical maximal function ⋮ Bilinear spherical maximal functions of product type ⋮ Lp estimates for multilinear convolution operators defined with spherical measure ⋮ Restricted averaging operators to cones over finite fields ⋮ \(L^2\times L^2 \rightarrow L^1\) boundedness criteria ⋮ Maximal operators associated with bilinear multipliers of limited decay ⋮ Bounds for discrete multilinear spherical maximal functions ⋮ Maximal estimates for the bilinear spherical averages and the bilinear Bochner-Riesz operators ⋮ Multilinear spherical maximal function ⋮ Bilinear maximal functions associated with surfaces

This page was built for publication: Restricted convolution inequalities, multilinear operators and applications