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STRONGLY SINGULAR CONVOLUTION OPERATORS ON MODULATION SPACES

MEIFANG CHENG

College of Mathematical and Computer Science, Anhui Normal University, Wuhu 241003, P. R. China

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and

ZHENQIU ZHANG

School of Mathematical Science and LPMC, Nankai University, Tianjin 300071, P. R. China

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https://doi.org/10.1142/S0219691311004304Cited by:2 (Source: Crossref)

Abstract

The purpose of this paper is to investigate the mapping properties of the strongly singular convolution operators on general weighted modulation spaces for 0 < p ≤ ∞, 0 < q ≤ ∞ and s ∈ ℝ. Our results show that modulation spaces are good substitutions for Lebesgue spaces.

Keywords:

AMSC: 42B20, 42B25

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