Regularity of the inverse mapping in Banach function spaces
نویسندگان
چکیده
We study the regularity properties of inverse a bilipschitz mapping f belonging to W m X loc $W^m X_{\mathrm{loc}}$ , where is an arbitrary Banach function space. Namely, we prove that − 1 $f^{-1}$ also in . Furthermore, paper shows class mappings closed with respect composition and multiplication.
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2021
ISSN: ['1522-2616', '0025-584X']
DOI: https://doi.org/10.1002/mana.201900374