Marcinkiewicz exponent and boundary value problems in fractal domains of $${\mathbb {R}}^{n+1}$$-Reference-Cited by-同舟云学术

Marcinkiewicz exponent and boundary value problems in fractal domains of $${\mathbb {R}}^{n+1}$$

Published:2023-10-18 Issue:6 Volume:13 Page:
ISSN:1664-2368
Container-title:Analysis and Mathematical Physics
language:en
Short-container-title:Anal.Math.Phys.

Author:

Tamayo Castro Carlos Daniel^ORCID

Abstract

AbstractThis paper aims to study the jump problem for monogenic functions in fractal hypersurfaces of Euclidean spaces. The notion of the Marcinkiewicz exponent has been taken into consideration. A new solvability condition is obtained, basing the work on specific properties of the Teodorescu transform in Clifford analysis. It is shown that this condition improves those involving the Minkowski dimension.

Funder

Consejo Nacional de Ciencia y Tecnología

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s13324-023-00850-6.pdf

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