Orujova, Aygun T.; Babayev, Rovshan F. On embedding theorems in Sobolev-Morrey type spaces \(\bigcap^{2^n}_{i=1}L^{\langle l^i\rangle}_{p^i, \varphi, \beta}(G)\). (English) Zbl 1474.46071 J. Contemp. Appl. Math. 8, No. 2, 7-15 (2018). Summary: In this paper it is constructed a new generalized Sobolev-Morrey type spaces and untilizing integral representation of weak derivatives of functions defined on \(n\)-dimensional domains satisfying flexible \(\varphi\)-horn condition it is proved theorems on differential properties functions from in this spaces is established. MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 26A33 Fractional derivatives and integrals 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) Keywords:generalized Sobolev-Morrey-type spaces with dominant mixed derivatives; integral representation; embedding theorems PDFBibTeX XMLCite \textit{A. T. Orujova} and \textit{R. F. Babayev}, J. Contemp. Appl. Math. 8, No. 2, 7--15 (2018; Zbl 1474.46071) Full Text: Link