The vector valued quartile operator

DOI10.1007/s13348-012-0070-3zbMath1288.42008arXiv1203.5604OpenAlexW2010183658MaRDI QIDQ379980

Michael T. Lacey, Ioannis Parissis, Tuomas P. Hytönen

Publication date: 11 November 2013

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5604

zbMATH Keywords

quartile operatortime-frequency analysisUMD Banach spacesWalsh models

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Spaces of vector- and operator-valued functions (46E40) Generalizations of martingales (60G48) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (7)

Vector-valued inequalities for families of bilinear Hilbert transforms and applications to bi-parameter problems ⋮ The bilinear Hilbert transform in UMD spaces ⋮ Multilinear singular integrals on non-commutative \(L^p\) spaces ⋮ A variation norm Carleson theorem for vector-valued Walsh-Fourier series ⋮ Sparse domination via the helicoidal method ⋮ Vector-valued extensions of operators through multilinear limited range extrapolation ⋮ Banach-valued modulation invariant Carleson embeddings and outer-\(L^p\) spaces: the Walsh case

Cites Work

• Unnamed Item
• Pointwise convergence of vector-valued Fourier series
• \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)
• On convergence and growth of partial sums of Fourier series
• Multi-linear operators given by singular multipliers
• The quartile operator and pointwise convergence of Walsh series
• On the growth of vector-valued Fourier series

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