2002Analysis in Theory and ApplicationsRequires access

L P (Rn) boundedness for the Marcinkiewicz integral

Guoen Hu

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Abstract

L p (R n ) boundedness is considered for the higher-dimensional Marcinkiewicz integral which was introduced by Stein. Some conditions implying the L p (R n ) boundedness for the Marcinkiewicz integral are obtained.

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What this paper is about

L p (R n ) boundedness is considered for the higher-dimensional Marcinkiewicz integral which was introduced by Stein. Some conditions implying the L p (R n ) boundedness for the Marcinkiewicz integral are obtained.

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Available abstract

L p (R n ) boundedness is considered for the higher-dimensional Marcinkiewicz integral which was introduced by Stein. Some conditions implying the L p (R n ) boundedness for the Marcinkiewicz integral are obtained.

Key concepts: Mathematics, Mathematical analysis, Pure mathematics

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