Yazar "Guliyev V.S." için listeleme

Boundedness of maximal, potential type, and singular integral operators in the generalized variable exponent Morrey type spaces

Guliyev V.S.; Hasanov J.J.; Samko S.G. (2010)

We consider generalized Morrey type spaces Mp(·), ?(·), ?(·) (?)with variable exponents p(x), ?(r) and a general function ?(x, r) defining a Morrey type norm. In the case of bounded sets ? ? Rn, we prove the boundedness ...

Boundedness of sublinear operators generated by Calderón-Zygmund operators on generalized weighted Morrey spaces

Karaman T.; Guliyev V.S.; Serbetci A. (2014)

In this paper we study the boundedness for a large class of sublinear operators T generated by Calderón-Zygmund operators on generalized weighted Morrey spaces Mp,?(w) with the weight function w(x) belonging to Muckenhoupt's ...

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

Guliyev V.S.; Hasanov J.J.; Samko S.G. (2010)

We consider generalized Morrey spaces M p(·),?(?) with variable exponent p(x) and a general function ?(x,r) defining the Morrey-type norm. In case of bounded sets ? ? Rn we prove the boundedness of the Hardy-Littlewood ...

Boundedness of the Riesz Potential in Local Morrey-Type Spaces

Burenkov V.I.; Gogatishvili A.; Guliyev V.S.; Mustafayev R.C. (2011)

The problem of boundedness of the Riesz potential in local Morrey-type spaces is reduced to the problem of boundedness of the Hardy operator in weighted L p -spaces on the cone of non-negative non-increasing functions. ...

Characterizations for the nonsingular integral operator and its commutators on generalized Orlicz-Morrey spaces

Eroglu A.; Guliyev V.S.; Omarova M.N. (Azerbaijan Mathematical Society, 2017)

We show continuity in generalized Orlicz-Morrey spaces M??(Rn +) of nonsingular integral operators and its commutators with BMO functions. We shall give necessary and sufficient conditions for the boundedness of the ...

Fractional maximal operator and its commutators in generalized morrey spaces on Heisenberg group

Eroglu A.; Azizov J.V.; Guliyev V.S. (Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2018)

In this paper we study the boundedness of the fractional maximal operator M ? on Heisenberg group H n in the generalized Morrey spaces M p,? (H n ). We shall give a characterization for the strong and weak type Spanne and ...

Generalized gegenbauer shift and some problems of the theory of approximation of functions on the metric of L2,?

Guliyev V.S.; Ibrahimov E.J. (Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2015)

In this paper we consider some problems of the theory of approximation of functions on interval [0, ?) in the metric of L2,? with weight sh2?x. The modulus of continuity used in those problems is constructed with the help ...

Generalized Local Morrey Spaces and Fractional Integral Operators with Rough Kernel

Guliyev V.S. (2013)

Let M ?,? and I ?,? be the fractional maximal and integral operators with rough kernels, where 0 < ? < n. We study the continuity properties of M ?,? and I ?,? on the generalized local Morrey spaces LMp,?{x0}. We ...

Global regularity in Orlicz-Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients

Guliyev V.S.; Ahmadli A.A.; Omarova M.N.; Softova L. (Texas State University - San Marcos, 2018)

We show continuity in generalized Orlicz-Morrey spaces M?,?(Rn) of sublinear integral operators generated by Calder´on-Zygmund operator and their commutators with BMO functions. The obtained estimates are used to study ...

Higher order commutators of vector-valued intrinsic square functions on vector-valued generalized weighted Morrey spaces

Guliyev V.S.; Omarova M.N. (Azerbaijan Mathematical Society, 2014)

In this paper, we will obtain the strong type and weak type estimates for vector-valued analogues of intrinsic square functions in the generalized weighted Morrey spaces Mpw,? (Rn). We study the boundedness of intrinsic ...

Maximal, Potential, and Singular Operators in the Generalized Variable Exponent Morrey Spaces on Unbounded Sets

Guliyev V.S.; Samko S.G. (2013)

We consider generalized Morrey spaces Mp(·),?(·)(?) with a variable exponent p(x) and a general function ?(x, r) defining a Morrey type norm. We extend the results obtained earlier for bounded sets ? ? Rn by proving the ...

Multilinear singular and fractional integral operators on generalized weighted morrey spaces

Guliyev V.S.; Omarova M.N. (Azerbaijan Mathematical Society, 2015)

In this paper, we study the boundedness of multilinear Calderòn-Zygmund operators, multilinear fractional integral operators and their commutators on products of generalized weighted Morrey spaces with multiple weights. © ...

Necessary and sufficient conditions for the boundedness of the Riesz potential in modified morrey spaces

Guliyev V.S.; Hasanov J.J.; Zeren Y. (Element D.O.O., 2011)

We prove that the fractional maximal operator M? and the Riesz potential operator I?, 0 < ? < n are bounded from the modified Morrey space L˜1,? (R{double-struck}n) to the weak modified Morrey space WL˜q,? ...

On the boundedness of the fractional maximal operator, riesz potential and their commutators in generalized morrey spaces

Guliyev V.S.; Shukurov P.S. (Springer International Publishing, 2013)

In the paper the authors find conditions on the pair (? 1 ,? 2 ) which ensure the Spanne type boundedness of the fractional maximal operator M ? and the Riesz potential operator I ? from one generalized Morrey spaces Mp,?1 ...