Document Type
Article
Publication Date
1-2024
Publisher
Springer Nature
Abstract
We prove sufficient conditions for a Calderón–Zygmund operator to belong to the Schatten classes. As in the classical T1 theory, the conditions are given in terms of the smoothness of the operator kernel, and the action of both the operator and its adjoint on the function 1. To show membership to the Schatten class when we develop new bump estimates for composed Calderón–Zygmund operators, and a new extension of Carleson’s Embedding Theorem.
Recommended Citation
Villarroya, P. (2024). The Schatten Classes of Calderón–Zygmund Operators. Journal of Fourier Analysis and Applications, 30(1), 9. https://doi.org/10.1007/s00041-023-10059-7
Comments
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