Pathological Complex Interpolation Involving the Space Wl,∞

Mathematische Nachrichten 2026 Open access

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Authors: Eduard Curcă
DOI: 10.1002/mana.70242
Cited by: 0

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.

Fields of Study & Subjects

Advanced Harmonic Analysis Research Advanced Banach Space Theory Mathematical Inequalities and Applications

Publication details

Journal / source
Mathematische Nachrichten
Publication date
20 August 2026
Language
EN