Browsing by Author "Guliyev, Vagif S."
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Anisotropic fractional maximal commutators with BMO functions on anisotropic Morreytype spaces
Akbulut, Ali; Burenkov, Victor I.; Guliyev, Vagif S. (Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2020)In the present paper, we shall give necessary and sufficient conditions for the boundedness of anisotropic fractional maximal commutator Mb,αd on anisotropic local Morreytype spaces, when b belongs to BMO spaces, by which ... 
Boundedness of a Class of Sublinear Operators and Their Commutators on Generalized Morrey Spaces
Guliyev, Vagif S.; Aliyev, Seymur S.; Karaman, Turhan (HINDAWI PUBLISHING CORPORATION, 2011)The authors study the boundedness for a large class of sublinear operator T generated by CalderonZygmund operator on generalized Morrey spaces M(p,phi) As an application of this result, the boundedness of the commutator ... 
Boundedness of Fractional Maximal Operator and its Commutators on Generalized OrliczMorrey Spaces
Guliyev, Vagif S.; Deringoz, Fatih (SPRINGER BASEL AG, 2015)We consider generalized OrliczMorrey spaces including their weak versions . We find the sufficient conditions on the pairs and which ensures the boundedness of the fractional maximal operator from to and from to . As ... 
Boundedness of Sublinear Operators and Commutators on Generalized Morrey Spaces
Guliyev, Vagif S.; Aliyev, Seymur S.; Karaman, Turhan; Shukurov, Parviz S. (SPRINGER BASEL AG, 2011)In this paper the authors study the boundedness for a large class of sublinear operators Talpha, alpha is an element of [0, n) generated by CalderonZygmund operators (alpha = 0) and generated by Riesz potential operator ... 
BOUNDEDNESS OF SUBLINEAR OPERATORS GENERATED BY CALDERONZYGMUND OPERATORS ON GENERALIZED WEIGHTED MORREY SPACES
Karaman, Turhan; Guliyev, Vagif S.; Serbetci, Ayhan (UNIV AL I CUZA, FAC MATH, 2014)In this paper we study the boundedness for a large class of sublinear operators T generated by CalderonZygmund operators on generalized weighted Morrey spaces Mp,Mphi(w) with the weight function w(x) belonging to ... 
Boundedness of the anisotropic maximal and anisotropic singular integral operators in generalized Morrey spaces
Guliyev, Vagif S.; Mustafayev, Rza Ch. (SPRINGER HEIDELBERG, 2011)In this paper we give the conditions on the pair (omega (1), omega (2)) which ensures the boundedness of the anisotropic maximal operator and anisotropic singular integral operators from one generalized Morrey space ... 
The boundedness of the generalized anisotropic potentials with rough kernels in the Lorentz spaces
Guliyev, Vagif S.; Serbetci, Ayhan; Ekincioglu, Ismail (TAYLOR & FRANCIS LTD, 2011)In this paper, we study the generalized anisotropic potential integral K(alpha,gamma) circle times f and anisotropic fractional integral I(Omega,alpha,gamma) f with rough kernels, associated with the LaplaceBessel ... 
Boundedness of the Maximal and Singular Operators on Generalized OrliczMorrey Spaces
Deringoz, Fatih; Guliyev, Vagif S.; Samko, Stefan (BIRKHAUSER VERLAG AG, 2014)We consider generalized OrliczMorrey spaces MF Phi,phi(Rn) including their weak versions. In these generalized spaces we prove the boundedness of the HardyLittlewood maximal operator and CalderonZygmund singular operators ... 
BOUNDEDNESS OF THE MAXIMAL OPERATOR AND ITS COMMUTATORS ON VANISHING GENERALIZED ORLICZMORREY SPACES
Deringoz, Fatih; Guliyev, Vagif S.; Samko, Stefan (SUOMALAINEN TIEDEAKATEMIA, 2015)We prove the boundedness of the HardyLittlewood maximal operator and their commutators with BMOcoefficients in vanishing generalized OrliczMorrey spaces VM Phi,phi(Rn) including weak versions of these spaces. The main ... 
Boundedness of the maximal operator in the local MorreyLorentz spaces
Aykol, Canay; Guliyev, Vagif S.; Serbetci, Ayhan (SPRINGEROPEN, 2013)In this paper we define a new class of functions called local MorreyLorentz spaces Mp,q;lambda(loc)(Rn), 0 < p,q <= infinity and 0 <= lambda <= 1. These spaces generalize Lorentz spaces such that Mp,q;0(loc) (Rn) = ... 
Boundedness of the Maximal, Potential and Singular Operators in the Generalized Morrey Spaces
Guliyev, Vagif S. (SPRINGER, 2009)We consider generalized Morrey spaces Mp,w (R(n)) with a general function. w(x, r) defining the Morrey type norm. We find the conditions on the pair (w(1), w(2)) which ensures the boundedness of the maximal operator and ... 
Boundedness Of The Maxımal, Potentıal And Sıngular Operators In The Generalızed Varıable Exponent Morrey Spaces
Guliyev, Vagif S.; Hasanov, Javanshir J.; Samko, Stefan G. (MATEMATISK INST, 2010)We consider generalized Morrey spaces M(P(.),omega)(Omega) with variable exponent p(x) and a general function omega(x, r) defining the Moneytype norm. In case of bounded sets Omega subset of R(n) we prove the boundedness ... 
A characterization for Adamstype boundedness of the fractional maximal operator on generalized OrliczMorrey spaces
Deringoz, Fatih; Guliyev, Vagif S.; Hasanov, Sabir G. (TAYLOR & FRANCIS LTD, 2017)In the present paper, we shall give a characterization for weak/strong Adamstype boundedness of the fractional maximal operator on generalized OrliczMorrey spaces. 
Characterization of associate spaces of generalized weighted weakLorentz spaces and embeddings
Gogatishvili, Amiran; Aykol, Canay; Guliyev, Vagif S. (POLISH ACAD SCIENCES INST MATHEMATICSIMPAN, 2015)We characterize associate spaces of generalized weighted weakLorentz spaces and use this characterization to study embeddings between these spaces. 
Characterization of the boundedness of fractional maximal operator and its commutators in Orlicz and generalized Orlicz–Morrey spaces on spaces of homogeneous type
Deringöz, Fatih; Dorak, Kendal; Guliyev, Vagif S. (Birkhauser, 2021)In this paper, we establish the necessary and sufficient conditions for the boundedness of fractional maximal operator Mα and the fractional maximal commutators Mb,α in Orlicz LΦ(X) and generalized Orlicz–Morrey spaces ... 
Characterizations for the Riesz potential and its commutators on generalized OrliczMorrey spaces
Deringoz, Fatih; Guliyev, Vagif S.; Hasanov, Sabir G. (SPRINGEROPEN, 2016)In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized OrliczMorrey spaces, respectively. Also we give criteria for ... 
Commutator of fractional integral with Lipschitz functions associated with Schrodinger operator on local generalized Morrey spaces
Guliyev, Vagif S.; Akbulut, Ali (SPRINGER INTERNATIONAL PUBLISHING AG, 2018)Let L = Delta + V be a Schrodinger operator on Rn, where n >= 3 and the nonnegative potential V belongs to the reverse Holder class RHq1 for some q(1) > n/2. Let b belong to a new Campanato space Lambda(theta)(nu) (rho) ... 
Commutators of fractional maximal operator on generalized OrliczMorrey spaces
Deringoz, Fatih; Guliyev, Vagif S.; Hasanov, Sabir G. (SPRINGER, 2018)In the present paper, we shall give necessary and sufficient conditions for the Spanne and Adams type boundedness of the commutators of fractional maximal operator on generalized OrliczMorrey spaces, respectively. The ... 
COMMUTATORS OF MARCINKIEWICZ INTEGRALS ASSOCIATED WITH SCHRODINGER OPERATOR ON GENERALIZED WEIGHTED MORREY SPACES
Guliyev, Vagif S.; Akbulut, Ali; Hamzayev, Vugar H.; Kuzu, Okan (ELEMENT, 2016)Let L = Delta + V be a Schrodinger operator, where Delta is the Laplacian on Rn, while nonnegative potential V belongs to the reverse Holder class. Let also Omega is an element of Lq(Sn1) be a homogeneous function of ... 
Decompositions of local Morreytype spaces
Guliyev, Vagif S.; Hasanov, Sabir G.; Sawano, Yoshihiro (SPRINGER, 2017)We develop and apply a decomposition theory for generic local Morreytype spaces. Our result is nonsmooth decomposition, which follows from the fact that local Morreytype spaces are isomorphic to Hardy local Morreytype ...