Theorems on imbedding in anisotropic spaces of vector-valued functions


Yakubov S., ŞAHMUROV V.

Mathematical Notes of the Academy of Sciences of the USSR, vol.22, no.2, pp.657-659, 1977 (Scopus) identifier identifier

Qısa məlumat

Imbedding theorems are proved for abstract anisotropic spaces of Sobolev type. In particular, it is proved that if G is a bounded set satisfying the l horn condition, then there holds the imbedding[Figure not available: see fulltext.] where {Mathematical expression}, H is a Hilbert space, and A is a self-adjoint positive operator. © 1978 Plenum Publishing Corporation.