Embedding operators and maximal regular differential-operator equations in Banach-valued function spaces
نویسندگان
چکیده
منابع مشابه
Embedding Operators and Maximal Regular Differential-operator Equations in Banach-valued Function Spaces
This study focuses on anisotropic Sobolev type spaces associated with Banach spaces E0, E. Several conditions are found that ensure the continuity and compactness of embedding operators that are optimal regular in these spaces in terms of interpolations of E0 and E. In particular, the most regular class of interpolation spaces Eα between E0, E, depending of α and order of spaces are found that ...
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The embedding theorems in anisotropic Besov-Lions type spaces Bp,θ(R ;E0,E) are studied; here E0 and E are two Banach spaces. The most regular spaces Eα are found such that the mixed differential operators Dα are bounded from Bp,θ(R ;E0,E) to B q,θ(R ;Eα), where Eα are interpolation spaces between E0 and E depending on α= (α1,α2, . . . ,αn) and l = (l1, l2, . . . , ln). By using these results t...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2005
ISSN: 1029-242X
DOI: 10.1155/jia.2005.329