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Boundedness of Convolution-Type Operators on Certain Endpoint Triebel-Lizorkin Spaces

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Abstract

In this paper, we are concerned with the boundedness of convolution-type Calderón-Zygmund operators on some endpoint Triebel-Lizorkin spaces. We establish the boundedness on \(\dot{F}_{1}^{0,q}\) (2<q<∞) under a very weak pointwise regularity condition. The boundedness is established by the Daubechies wavelets and the atomic-molecular approach.

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Authors and Affiliations

  1. Department of Mathematics, South-Central University for Nationalities, Wuhan, 430074, China

    Zhanying Yang

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  1. Zhanying Yang
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Correspondence to Zhanying Yang.

Additional information

This research is supported by the Special Fund for Basic Scientific Research of Central Colleges, South-Central University for Nationalities (No. ZZQ10010) and Research Fund for the Doctoral Program of Higher Education (No. 20090141120010).

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Yang, Z. Boundedness of Convolution-Type Operators on Certain Endpoint Triebel-Lizorkin Spaces. Acta Appl Math 114, 193–205 (2011). https://doi.org/10.1007/s10440-011-9608-8

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  • DOI: https://doi.org/10.1007/s10440-011-9608-8

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