A Marcinkiewicz maximal-multiplier theorem

2011/10/05 by Richard Oberlin, Oberlin, Richard
Mathematics · #Advanced Harmonic Analysis Research #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1110.1065

Abstract

For r < 2, we prove the boundedness of a maximal operator formed by applying all multipliers m with ‖m‖_V^r ≤ 1 to a given function.

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