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Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces

Vagif S. Guliyev; Mehriban N. Omarova — 2016

Open Mathematics

We obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized weighted Morrey space Mp,ϕ(Q, w), than the strong solution belongs to the generalized weighted Sobolev- Morrey space [...] W˙2,1p,φ(Q,ω) ${\dot{W}}_{2, 1}^{p, ϕ} (Q, ω)$ .

Corrigendum to: parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces

Vagif S. Guliyev; Mehriban N. Omarova — 2016

Open Mathematics

Characterization of associate spaces of generalized weighted weak-Lorentz spaces and embeddings

Amiran Gogatishvili; Canay Aykol; Vagif S. Guliyev — 2015

Studia Mathematica

We characterize associate spaces of generalized weighted weak-Lorentz spaces and use this characterization to study embeddings between these spaces.

Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces.

Guliyev, Vagif S. — 2009

Journal of Inequalities and Applications [electronic only]

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Currently displaying 1 – 4 of 4

Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces

Corrigendum to: parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces

Characterization of associate spaces of generalized weighted weak-Lorentz spaces and embeddings

Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces.