Boundedness of Convolution-Type Operators on Certain Endpoint Triebel-Lizorkin Spaces |
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Authors: | Zhanying Yang |
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Institution: | 1.Department of Mathematics,South-Central University for Nationalities,Wuhan,China |
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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 (F)\dot]10,q\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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Keywords: | |
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