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2007•Journal of MathematicsRequires access

THE CESRO SUMMABILITY OF FOURIER SERIES ON HARDY SPACES

Luoqing Li

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Abstract

The paper deals with the boundedness of the Cesro operator on Hardy spaces.The strong and weak type estimates for the boundedness of the Cesro operator on Hardy spaces are obtained.It is proved that the weak type estimate is sharp.Some known results are extended and strengthened.

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What this paper is about

The paper deals with the boundedness of the Cesro operator on Hardy spaces.The strong and weak type estimates for the boundedness of the Cesro operator on Hardy spaces are obtained.It is proved that the weak type estimate is sharp.Some known results are extended and strengthened.

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Available abstract

The paper deals with the boundedness of the Cesro operator on Hardy spaces.The strong and weak type estimates for the boundedness of the Cesro operator on Hardy spaces are obtained.It is proved that the weak type estimate is sharp.Some known results are extended and strengthened.

Key concepts: Mathematics, Hardy space, Type (biology), Fourier series, Operator (biology), Maximal operator, Pure mathematics, Series (stratigraphy)

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