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    Embedding Relations Between Weighted Complementary Local Morrey-Type Spaces And Weighted Local Morrey-Type Spaces
    (L N Gumilyov Eurasian Natl Univ, 2017) Gogatishvili, A.; Mustafayev, R. Ch.; Unver, T.
    In this paper embedding relations between weighted complementary local Morreytype spaces (LMp theta,omega)-L-c(R-n, v) and weighted local Morrey-type spaces L LMp theta,omega(R-n, v) are characterized. In particular, two-sided estimates of the optimal constant c in the inequality (integral(infinity)(0) (integral(B(0,t)) f (x)(p2) v(2)(x)dx)(q2/p2) u(2)(t) dt)(1/q2) <= c (integral(infinity)(0)(integral(cB(0,t)) f (x)(p1) v(1)(x) dx)(q1/p1) u(1)(t) dt)(1/q1), f >= 0 are obtained, where p(1), p(2), q(1), q(2) is an element of (0, infinity), p(2) <= q(2) and u(1), u(2) and v(1), v(2) are weights on (0,infinity) and R-n, respectively. The proof is based on the combination of the duality techniques with estimates of optimal constants of the embedding relations between weighted local Morrey-type and complementary local Morrey-type spaces and weighted Lebesgue spaces, which allows to reduce the problem to using of the known Hardy-type inequalities.
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    Embeddings between weighted local Morrey-type spaces and weighted Lebesgue spaces
    (Element, 2015) Mustafayev, R. Ch.; Unver, T.
    In this paper, the embeddings between weighted localMorrey-type spaces and weighted Lebesgue spaces are investigated.
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    NEW CHARACTERIZATION OF MORREY SPACES
    (L N Gumilyov Eurasian Natl Univ, 2013) Gogatishvili, A.; Mustafayev, R. Ch.
    In this paper we prove that the norm of the Morrey space Mp, lambda is equivalent to sup {integral R-n |fg| : inf(x is an element of R)(n) integral(infinity)(0) r(p)(n-lambda) -1
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    On Boundedness of Sublinear Operators in Weighted Morrey Spaces
    (Inst Math & Mechanics Azerbaijan, 2012) Mustafayev, R. Ch.
    In this paper we provide conditions on functions omega(1) and omega(2) which ensures the boundedness of sublinear operators from one weighted Morrey space M-p,(w1) (v) to another M-p,(w2) (v), where weight function v belongs to Muckenhoupt classes A(p).
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    Some Operators Arising From Schwarz Bvp In Complementary Local Morrey-Type Spaces On The Unit Disc
    (Univ Prishtines, 2017) Guliyev, V. S.; Koca, K.; Mustafayev, R. Ch.; Unver, T.
    In this paper, we prove the boundedness of a class of operators arising from Schwarz BVP in complementary local Morrey-type spaces in the unit disc of the complex plane.