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A note on variation continuity for multilinear maximal operators

Xiao Zhang
대한수학회 (The Korean Mathematical Society)|2024.01|대한수학회보 (Bulletin of the KMS)|제61권 제1호|pp. 207-216|DOI 10.4134/BKMS.b230073

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키워드

continuitybounded variationDiscrete multilinear maximal operator
주제분류수학

초록

This note is devoted to establishing the variation continuity of the one-dimensional discrete uncentered multilinear maximal operator. The above result is based on some refine variation estimates of the above maximal functions on monotone intervals. The main result essentially improves some known ones.

Abstract

This note is devoted to establishing the variation continuity of the one-dimensional discrete uncentered multilinear maximal operator. The above result is based on some refine variation estimates of the above maximal functions on monotone intervals. The main result essentially improves some known ones.

참고문헌 (32)

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