Sobolev Extensions Via Reflections

P. Koskela; Z. Zhu

doi:10.1007/s10958-022-06204-0

Sobolev Extensions Via Reflections

P. Koskela^*
, Z. Zhu

^*Corresponding author for this work

University of Jyväskylä

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We show that certain extension results obtained by Maz’ya and Poborchi for domains with an outward peak can be realized via composition operators generated by reflections. We also study the case of the complementary domains.

Original language	English
Pages (from-to)	376-401
Number of pages	26
Journal	Journal of Mathematical Sciences (United States)
Volume	268
Issue number	3
DOIs	https://doi.org/10.1007/s10958-022-06204-0
State	Published - Dec 2022
Externally published	Yes

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title = "Sobolev Extensions Via Reflections",

abstract = "We show that certain extension results obtained by Maz{\textquoteright}ya and Poborchi for domains with an outward peak can be realized via composition operators generated by reflections. We also study the case of the complementary domains.",

author = "P. Koskela and Z. Zhu",

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year = "2022",

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doi = "10.1007/s10958-022-06204-0",

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T1 - Sobolev Extensions Via Reflections

AU - Koskela, P.

AU - Zhu, Z.

PY - 2022/12

Y1 - 2022/12

N2 - We show that certain extension results obtained by Maz’ya and Poborchi for domains with an outward peak can be realized via composition operators generated by reflections. We also study the case of the complementary domains.

AB - We show that certain extension results obtained by Maz’ya and Poborchi for domains with an outward peak can be realized via composition operators generated by reflections. We also study the case of the complementary domains.

UR - https://www.scopus.com/pages/publications/85142355157

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DO - 10.1007/s10958-022-06204-0

M3 - 文章

AN - SCOPUS:85142355157

SN - 1072-3374

VL - 268

SP - 376

EP - 401

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

IS - 3

ER -

Sobolev Extensions Via Reflections

Abstract

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