A1 Journal article (refereed)
Product of extension domains is still an extension domain (2020)

Koskela, P., & Zhu, Z. (2020). Product of extension domains is still an extension domain. Indiana University Mathematics Journal, 69(1), 137-150. https://doi.org/10.1512/iumj.2020.69.8366

JYU authors or editors

Koskela, Pekka
Zhu, Zheng

Publication details

All authors or editors: Koskela, Pekka; Zhu, Zheng

Journal or series: Indiana University Mathematics Journal

ISSN: 0022-2518

eISSN: 1943-5258

Publication year: 2020

Volume: 69

Issue number: 1

Pages range: 137-150

Publisher: Indiana University Press

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1512/iumj.2020.69.8366

Publication open access: Not open

Publication channel open access:

Web address of parallel published publication (pre-print): https://arxiv.org/abs/1809.07071

Abstract

Our main result gives a functional property of the class of W-1,W-p-extension domains. Let Omega(1) subset of R-n and Omega(2) subset of R-m both be W-1,W-p-extensiondomains for some 1 < p <= infinity. We prove that Omega(1) x Omega(2) subset of Rn+m is also a W-1,W-p-extensiondomain. We also establish the converse statement.

Keywords: functional analysis

Free keywords: Sobolev extension; product

Fields of science: