Partial Derivatives, Singular Integrals and Sobolev Spaces in Dyadic Settings
نویسندگان
چکیده
In this note we show that the general theory of vector valued singular integral operators Calderon-Zygmund defined on metric measure spaces, can be applied to obtain Sobolev type regularity properties for solutions dyadic fractional Laplacian. doing so, define partial derivatives in terms Haar multipliers and homogeneous operators.
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ژورنال
عنوان ژورنال: Analysis in Theory and Applications
سال: 2023
ISSN: ['1672-4070', '1573-8175']
DOI: https://doi.org/10.4208/ata.oa-2021-0051