Bulletin of the
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BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2020; 57(5): 1143-1149

Online first article July 9, 2020      Printed September 30, 2020

https://doi.org/10.4134/BKMS.b190826

Copyright © The Korean Mathematical Society.

Sobolev trace inequality on $W^{s, q}( {\mathbb R}^{n} )$

Hee Chul Pak

Dankook University

Abstract

Sobolev trace inequalities on nonhomogeneous fractional \linebreak Sobolev spaces are established.

Keywords: Trace inequality, fractional, nonhomogeneous Sobolev space, best constant

MSC numbers: Primary 46E35, 41A44, 26A33

Supported by: This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education(2019R1I1A3A01057195)

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