A remark on Plancherel's theorem for Banach space valued functions
Stephen Vági (1969)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Fourier series and Hilbert transforms with values in UMD Banach spaces”
A remark on Plancherel's theorem for Banach space valued functions
The work of José Luis Rubio de Francia (I).
José Luis Torrea (1991)
Publicacions Matemàtiques
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The aim of these pages is to give the reader an idea about the first part of the mathematical life of José Luis Rubio de Francia.
A relation between Fourier transforms in one and two variables
Per Sjölin (1979)
Banach Center Publications
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-multiplier theorems
W. Littman, C. McCarthy, N. Riviere (1968)
Studia Mathematica
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Multilinear singular integrals.
Christoph M. Thiele (2002)
Publicacions Matemàtiques
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We survey the theory of multilinear singular integral operators with modulation symmetry. The basic example for this theory is the bilinear Hilbert transform and its multilinear variants. We outline a proof of boundedness of Carleson's operator which shows the close connection of this operator to multilinear singular integrals. We discuss particular multilinear singular integrals which historically arose in the study of eigenfunctions of Schrödinger operators. ...
Variants of the Calderón-Zygmund theory for L-spaces.
Anthony Carbery (1986)
Revista Matemática Iberoamericana
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The purposes of this paper may be described as follows: (i) to provide a useful substitute for the Cotlar-Stein lemma for Lp-spaces (the orthogonality conditions are replaced by certain fairly weak smoothness asumptions); (ii) to investigate the gap between the Hörmander multiplier theorem and the Littman-McCarthy-Rivière example - just how little regularity is really needed? (iii) to simplify and extend the work of Duoandikoetxea...
On vector-valued Fourier multiplier theorems
Frank Zimmermann (1989)
Studia Mathematica
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Weighted inequalities for commutators of fractional and singular integrals.
Carlos Segovia, José L. Torrea (1991)
Publicacions Matemàtiques
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On bilinear Littlewood-Paley square functions.
Michael T. Lacey (1996)
Publicacions Matemàtiques
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On the real line, let the Fourier transform of kn be k'n(ξ) = k'(ξ-n) where k'(ξ) is a smooth compactly supported function. Consider the bilinear operators Sn(f, g)(x) = ∫ f(x+y)g(x-y)kn(y) dy. If 2 ≤ p, q ≤ ∞, with 1/p + 1/q = 1/2, I prove that Σ∞ n=-∞ ||Sn(f,g)||2 2...