Browsing by Author "Guliyev, V. S."
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The boundedness of Hilbert transform in the local MorreyLorentz spaces
Aykol, C.; Guliyev, V. S.; Kucukaslan, A.; Serbetci, A. (TAYLOR & FRANCIS LTD, 2016)In this paper, we investigate the boundedness of the Hilbert transform H in the local MorreyLorentz spaces [GRAPHICS] , [GRAPHICS] , [GRAPHICS] . We prove that the operator H is bounded in [GRAPHICS] under the condition ... 
Boundedness of operators arising from Schwarz BVP in modified local Morreytype spaces
Guliyev, V. S.; Koca, K.; Mustafayev, R. C. H.; Unver, T. (TAYLOR & FRANCIS LTD, 2017)In this paper, we prove the boundedness of a class of operators arising from Schwarz BVP in modified local Morreytype spaces in the unit disc of the complex plane. 
Boundedness of the anisotropic Riesz potential in anisotropic local Morreytype spaces
Akbulut, A.; Guliyev, V. S.; Muradova, Sh. A. (TAYLOR & FRANCIS LTD, 2013)The problem of boundedness of the anisotropic Riesz potential in local Morreytype spaces is reduced to the problem of boundedness of the Hardy operator in weighted L p spaces on the cone of nonnegative nonincreasing ... 
Boundedness of the fractional maximal operator in generalized Morrey space on the Heisenberg group
Guliyev, V. S.; Mammadov, Yagub Y. (INDIAN NAT SCI ACAD, 2013)In this paper we study the fractional maximal operator M (alpha) , 0 a parts per thousand currency sign alpha < Q on the Heisenberg group a"i (n) in the generalized Morrey spaces M (p, I center dot)(a"i (n) ), where Q = ... 
Characterizations for the fractional integral operators in generalized Morrey spaces on Carnot groups
Eroglu, A.; Guliyev, V. S.; Azizov, J. V. (MAIK NAUKA/INTERPERIODICA/SPRINGER, 2017)In this paper, we study the boundedness of the fractional integral operator I (alpha) on Carnot group G in the generalized Morrey spaces M (p, phi) (G). We shall give a characterization for the strong and weak type boundedness ... 
Characterizations for the Nonsingular Integral Operator and its Commutators on Generalized OrliczMorrey Spaces
Eroglu, A.; Guliyev, V. S.; Omarova, M. N. (INST MATH & MECHANICS AZERBAIJAN, 2017)We show continuity in generalized OrliczMorrey spaces M (Phi,phi) (R+(n)) of nonsingular integral operators and its commutators with BMO functions. We shall give necessary and sufficient conditions for the boundedness ... 
Commutators and generalized local Morrey spaces
Guliyev, V. S.; Omarova, M. N.; Ragusa, M. A.; Scapellato, A. (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2018)In this paper we study the behavior of HardyLittlewood maximal operator and the action of commutators in generalized local Morrey spaces LM{x0}p,phi (Rn) and generalized Morrey spaces Mp,Mphi(Rn). (C) 2016 Elsevier ... 
Commutators of Fractional Maximal Operator on Orlicz Spaces
Guliyev, V. S.; Deringoz, F.; Hasanov, S. G. (MAIK NAUKA/INTERPERIODICA/SPRINGER, 2018)In the present paper, we give necessary and sufficient conditions for the boundedness of commutators of fractional maximal operator on Orlicz spaces. The main advance in comparison with the existing results is that we ... 
Generalized Fractional Integral Operators on Generalized Local Morrey Spaces
Guliyev, V. S.; Ismayilova, A. F.; Kucukaslan, A.; Serbetci, A. (HINDAWI LTD, 2015)We study the continuity properties of the generalized fractional integral operator Irho on the generalized local Morrey spaces LMp,phi{x0} and generalized Morrey spaces Mp,Mphi. We find conditions on the triple (phi(1), ... 
HIGHER ORDER RIESZ TRANSFORMS RELATED TO SCHRODINGER TYPE OPERATOR ON LOCAL GENERALIZED MORREY SPACES
Guliyev, V. S.; Akbulut, A.; Celik, S.; Omarova, M. N. (INST APPLIED MATHEMATICS, 2019)In this paper, we study the boundedness of the higher order Riesz transforms R, R* and their commutators [b, R], [b, R*] on local generalized Morrey spaces LMp,phi alpha,V,{x0} and vanishing generalized Morrey spaces VMp,phi ... 
(Lp, Lq) Boundedness of the fractional maximal operator associated with the Dunkl operator on the real line
Guliyev, V. S.; Mammadov, Y. Y. (TAYLOR & FRANCIS LTD, 2010)On the real line, the Dunkl operators are differentialdifference operators associated with the reflection group Z(2) on R. In this paper, we obtain necessary and sufficient conditions on the parameters for the boundedness ... 
Maximal operator and CalderonZygmund operators in local MorreyLorentz spaces
Guliyev, V. S.; Aykol, C.; Kucukaslan, A.; Serbetci, A. (TAYLOR & FRANCIS LTD, 2016)In this paper we proved the boundedness of the Hardy Littlewood maximal operator M, the Calderon Zygmund operators T and the maximal Calderon Zygmund operators T on the local Morrey Lorentz spaces Mp,q ,lambda(loc) ... 
Multi linear Singular and Fractional Integral Operators on Generalized Weighted Morrey Spaces
Guliyev, V. S.; Omarova, M. N. (INST MATH & MECHANICS AZERBAIJAN, 2015)In this paper, we study the boundedness of multilinear CalderonZygmund operators, multilinear fractional integral operators and their commutators on products of generalized weighted Morrey spaces with multiple weights. 
The optimal control problem in the processes described by the Goursat problem for a hyperbolic equation in variable exponent Sobolev spaces with dominating mixed derivatives
Bandaliyev, R. A.; Guliyev, V. S.; Mamedov, I. G.; Sadigov, A. B. (ELSEVIER SCIENCE BV, 2016)In this paper a necessary and sufficient condition, such as the Pontryagin's maximum principle for an optimal control problem with distributed parameters, is given by a hyperbolic equation of the second order with ... 
RIESZ TRANSFORMS ASSOCIATED WITH SCHRODINGER OPERATOR ON VANISHING GENERALIZED MORREY SPACES
Guliyev, V. S.; Guliyev, R. V.; Omarova, M. N. (MINISTRY COMMUNICATIONS & HIGH TECHNOLOGIES REPUBLIC AZERBAIJAN, 2018)In this paper, we study the boundedness of the dual Riesz transform R* and their commutators [b, R*] on generalized Morrey spaces Mp,phi(alpha,V) associated with Schrodinger operator and vanishing generalized Morrey spaces ... 
SOME OPERATORS ARISING FROM SCHWARZ BVP IN COMPLEMENTARY LOCAL MORREYTYPE SPACES ON THE UNIT DISC
Guliyev, V. S.; Koca, K.; Mustafayev, R. Ch.; Unver, T. (UNIV PRISHTINES, 2017)In this paper, we prove the boundedness of a class of operators arising from Schwarz BVP in complementary local Morreytype spaces in the unit disc of the complex plane. 
The SteınWeıss Type Inequalıtıes For The BRıesz Potentıals
Gadjiev, A. D.; Guliyev, V. S.; Serbetci, A.; Guliyev, E. V. (ELEMENT, 2011)We establish two inequalities of SteinWeiss type for the Riesz potential operator I(alpha,gamma) (BRiesz potential operator) generated by the LaplaceBessel differential operator Delta B in the weighted Lebesgue spaces ... 
TwoWeighted Inequalities for the Riesz Potential in pConvex Weighted Modular Banach Function Spaces
Bandaliyev, R. A.; Guliyev, V. S.; Hasanov, S. G. (SPRINGER, 2018)We prove the property of twoweight boundedness for the Riesz potential from one weighted Banach function space to another weighted Banach function space. In particular, we establish the twoweight boundedness for the Riesz ... 
Weighted Norm Inequalities For The GLittlewoodPaley Operators Associated Wıth LaplaceBessel Differential Operators
Akbulut, A.; Guliyev, V. S.; Dziri, M. (ELEMENT, 2014)In this work we define and study Poisson integral associated with LaplaceBessel differential operators. We establish weighted inequalities with a general weight for the gLittlewoodPaley functions and the commutator ...