Criterion on \(L^{p_1} \times L^{p_2} \rightarrow L^q\)-boundedness for oscillatory bilinear Hilbert transform

DOI10.1155/2014/712051zbMath1474.42081OpenAlexW1994409144WikidataQ59040828 ScholiaQ59040828MaRDI QIDQ1724794

Zuoshunhua Shi, Yan, Dunyan

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/712051

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (2)

Equivalence of operator norm for Hardy-Littlewood maximal operators and their truncated operators on Morrey spaces ⋮ A note on Hardy-Littlewood maximal operators

Cites Work

• On multilinear oscillatory integrals, nonsingular and singular
• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• Criterion on \(L^ p\)-boundedness for a class of oscillatory singular integrals with rough kernels
• Multilinear estimates and fractional integration
• Operator versions of the van der Corput lemma and Fourier integral operators
• Some remarks on multilinear maps and interpolation

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