Change of variables in a multiple Lebesgue integral
β Scribed by I. V. Orlov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1973
- Tongue
- English
- Weight
- 342 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Recently P. Lax has produced a novel approach to the proof of the change of variable formula for multiple integrals. In Section 1 we give a variant of Lax's proof, using the language of differential forms. In Sections 2 and 3 we discuss extensions involving more singular maps and integrands.  2002
## Abstract Our aim in this paper is to deal with integrability of maximal functions for generalized Lebesgue spaces with variable exponent. Our exponent approaches 1 on some part of the domain, and hence the integrability depends on the shape of that part and the speed of the exponent approaching