The Vladimirov–Taibleson operator: inequalities, Dirichlet problem, boundary Hölder regularity
نویسندگان
چکیده
We study the Vladimirov–Taibleson operator, a model example of pseudo-differential operator acting on real- or complex-valued functions defined non-Archimedean local field. prove analogs classical inequalities for fractional Laplacian, counterpart Dirichlet problem including property boundary Hölder regularity solutions.
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ژورنال
عنوان ژورنال: Journal of Pseudo-differential Operators and Applications
سال: 2023
ISSN: ['1662-999X', '1662-9981']
DOI: https://doi.org/10.1007/s11868-023-00525-7