Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces

Title:

Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces

Creator:

Ohno, Takao and Shimomura, Tetsu

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:be9b2c91-b71d-4591-970f-b69cede9ef6c
uuid:be9b2c91-b71d-4591-970f-b69cede9ef6c
issn:0011-4642

Subject:

matematika, Sobolevovy prostory, mathematics, Sobolev spaces, metric measure space, Hajłasz-Sobolev space, Musielak-Orlicz space, capacity, variable exponent, zero boundary values, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We define and study Musielak-Orlicz-Sobolev spaces with zero boundary values on any metric space endowed with a Borel regular measure. We extend many classical results, including completeness, lattice properties and removable sets, to Musielak-Orlicz-Sobolev spaces on metric measure spaces. We give sufficient conditions which guarantee that a Sobolev function can be approximated by Lipschitz continuous functions vanishing outside an open set. These conditions are based on Hardy type inequalities., Takao Ohno, Tetsu Shimomura., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

371-394

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:2

Harvested from:

CDK

Metadata only:

false