In this paper we present some basic results on the generalized Lebesgue spaces pŽ x . Ž . m, pŽ x . Ž . L ⍀ and generalized Lebesgue᎐Sobolev spaces W ⍀ . These results provide the necessary framework for the study of variational problems and elliptic Ž . equations with non-standard p x -growth cond
On the description of the spaces(L_p^{overrightarrow alpha } )(Ω)
✍ Scribed by A. V. Skorikov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1975
- Tongue
- English
- Weight
- 400 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let O denote a nonempty finite set. Let SðOÞ denote the symmetric group on O and let PðOÞ denote the power set of O: Let r : SðOÞ ! UðL 2 ðPðOÞÞÞ be the left unitary representation of SðOÞ associated with its natural action on PðOÞ: We consider the algebra consisting of those endomorphisms of L 2 ðP
## Abstract This is an alternative approach of finding the __W__^2, __p__^ estimates of the heat equation in a domain, Ω⊂ℝ^__n__^. Methods used in (__Acta Math. Sin.__ 2003; **19**(2):381–396) are expanded to the case of a bounded domain. As a result, milder restrictions are applied to ∂Ω than prev