A1 Journal article (refereed)
Approximation by uniform domains in doubling quasiconvex metric spaces (2021)

Rajala, T. (2021). Approximation by uniform domains in doubling quasiconvex metric spaces. Complex Analysis and its Synergies, 7(1), Article 4. https://doi.org/10.1007/s40627-021-00062-3

JYU authors or editors

Publication details

All authors or editors: Rajala, Tapio

Journal or series: Complex Analysis and its Synergies

ISSN: 2524-7581

eISSN: 2197-120X

Publication year: 2021

Volume: 7

Issue number: 1

Article number: 4

Publisher: Springer

Publication country: Switzerland

Publication language: English

DOI: https://doi.org/10.1007/s40627-021-00062-3

Publication open access: Openly available

Publication channel open access: Partially open access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/74393

Publication is parallel published: https://arxiv.org/abs/2001.01514

Additional information: Dedicated to Professor Pekka Koskela on the occasion of his 60th birthday.

Abstract

We show that any bounded domain in a doubling quasiconvex metric space can be approximated from inside and outside by uniform domains.

Keywords: complex analysis; functional analysis; metric spaces

Free keywords: Sobolev extension; uniform domain; quasiconvexity

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Related projects

Ministry reporting: Yes

Reporting Year: 2021

JUFO rating: 1