×

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

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.)
PDFBibTeX XMLCite
Full Text: Link