Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an L2-localisation principle.

Anthony Carbery; Fernando Soria

Displaying similar documents to “Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an L2-localisation principle.”

The work of José Luis Rubio de Francia (IV).

Anthony Carbery (1991)

Publicacions Matemàtiques

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José Luis and I first met at the famous - and hugely enjoyable 1983 El Escorial conference of which he and Ireneo Peral were the chief organisers, but we did not really discuss mathematics together until the spring and summer of 1985. There is an old question - formally posed by Stein in the proceedings of the 1978 Williamstown conference [St] - concerning the disc multiplier and the Bochner-Riesz means.

Almost everywhere convergence of Fourier integrals in Rn

Anthony Carbery, Fernando Soria (1988)

Extracta Mathematicae

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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 L^p-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...