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Spring 2019 Compact embeddings on a subspace of weighted variable exponent Sobolev spaces
Cihan Unal, Ismail Aydın
Adv. Oper. Theory 4(2): 388-405 (Spring 2019). DOI: 10.15352/aot.1803-1335

Abstract

‎In this paper‎, ‎we define an intersection space between weighted classical Lebesgue spaces and weighted Sobolev spaces with variable exponent‎. ‎We consider the basic properties of the space‎. ‎Also‎, ‎we investigate some inclusions‎, ‎continuous embeddings‎, ‎and compact embeddings under some‎ ‎conditions‎.

Citation

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Cihan Unal. Ismail Aydın. "Compact embeddings on a subspace of weighted variable exponent Sobolev spaces." Adv. Oper. Theory 4 (2) 388 - 405, Spring 2019. https://doi.org/10.15352/aot.1803-1335

Information

Received: 21 March 2018; Accepted: 18 September 2018; Published: Spring 2019
First available in Project Euclid: 1 December 2018

zbMATH: 07009315
MathSciNet: MR3883142
Digital Object Identifier: 10.15352/aot.1803-1335

Subjects:
Primary: 46E35
Secondary: 43A15, 46E30

Rights: Copyright © 2019 Tusi Mathematical Research Group

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Vol.4 • No. 2 • Spring 2019
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