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Approximation in vanishing rearrangement-invariant Morrey spaces and applications

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

Morrey type space built on rearrangement-invariant Banach function space where the set of smooth functions with compact support is a dense set of this space is introduced in this paper. By using the denseness of the set of smooth functions with compact support, we obtain the oscillation and variation inequalities of Riesz transforms on this Morrey type space.

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Acknowledgements

The author would like to thank the referee for her/his valuable suggestions.

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  1. Department of Mathematics and Information Technology, The Education University of Hong Kong, 10 Lo Ping Road, Tai Po, Hong Kong, China

    Kwok-Pun Ho

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  1. Kwok-Pun Ho
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Ho, KP. Approximation in vanishing rearrangement-invariant Morrey spaces and applications. RACSAM 113, 2999–3014 (2019). https://doi.org/10.1007/s13398-019-00668-7

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