Year: 2026
Type: article
Abstract: ABSTRACT In 2024 it was shown that a pathological situation occurs in the complex interpolation between (with integer) and other Sobolev spaces. Specifically, if is an integer, , and , then for any , where and . In this paper we extend this result by showing that () still holds under the weaker condition . While the case can be handled by using traces on hyperplanes, the case requires trace theory on fractal sets.
Source: Mathematische Nachrichten
DOI: 10.1002/mana.70242
Author: Eduard Curcă
Institution: University of Warsaw
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: Narodowym Centrum Nauki
Award: G232267666
OpenAlex ID: W7127547541
FWCI:
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