Remarks on Sobolev norms of fractional orders
نویسندگان
چکیده
When a function belonging to fractional-order Sobolev space is supported in proper subset of the Lipschitz domain on which defined, how its norm as smaller set compared whole domain? On what do comparison constants depend on? Do different norms behave differently? This article addresses these issues. We prove some inequalities and disprove misconceptions by counter-examples.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2021
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2021.124960