A remark on a maximal operator for Fourier multipliers

J. Bourgain; S. Kostyukovsky; A. Olevskii

A remark on a maximal operator for Fourier multipliers

J. Bourgain, S. Kostyukovsky, A. Olevskii

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

For a finite set Λ on the circle we consider a family of the multiplier
operators Tm in l2(Z) generated by the 2−m-neighborhoods of Λ. We
show that the norm of the corresponding maximal operator T can not
be estimated by an absolute constant.

Original language	English
Pages (from-to)	901-904
Number of pages	4
Journal	Real Analysis Exchange
Volume	26
Issue number	2
State	Published - 2000

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title = "A remark on a maximal operator for Fourier multipliers",

abstract = "For a finite set Λ on the circle we consider a family of the multiplieroperators Tm in l2(Z) generated by the 2−m-neighborhoods of Λ. Weshow that the norm of the corresponding maximal operator T can notbe estimated by an absolute constant.",

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JO - Real Analysis Exchange

JF - Real Analysis Exchange

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A remark on a maximal operator for Fourier multipliers

Abstract

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