\(L^2\times L^2 \rightarrow L^1\) boundedness criteria

DOI10.1007/s00208-018-1794-5zbMath1431.42021arXiv1802.09400OpenAlexW2908510867MaRDI QIDQ2290808

Danqing He, Lenka Slavíková, Loukas Grafakos

Publication date: 29 January 2020

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.09400

zbMATH Keywords

\(L^q\) integrability of multipliersbilinear operators associated with a multiplier

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Related Items (15)

Initial 𝐿²×⋯×𝐿² bounds for multilinear operators ⋮ Boundedness of bilinear pseudo-differential operators of \(S_{0,0}\)-type in Wiener amalgam spaces and in Lebesgue spaces ⋮ Optimal Gagliardo-Nirenberg interpolation inequality for rearrangement invariant spaces ⋮ The triangle averaging operator ⋮ Improved estimates for bilinear rough singular integrals ⋮ Rough bilinear hypersingular integrals ⋮ Multilinear rough singular integral operators ⋮ On the ranges of bilinear pseudo-differential operators of \(S_{0,0}\)-type on \(L^2 \times L^2\) ⋮ An alternative to Plancherel’s criterion for bilinear operators ⋮ Maximal operators associated with bilinear multipliers of limited decay ⋮ Boundedness of bilinear pseudo-differential operators of \(S_{0,0}\)-type on \(L^2\times L^2\) ⋮ Weighted estimates for maximal bilinear rough singular integrals via sparse dominations ⋮ Sparse domination and weighted estimates for rough bilinear singular integrals ⋮ The lattice bump multiplier problem ⋮ Bilinear maximal functions associated with surfaces

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