29 citations · 51 across the 19 of their papers we have counts for
21 papers
Some notes on commutators of the fractional maximal and Riesz potential operators on Orlicz spaces
Vagif S. Guliyev, Fatih Deringoz, Sabir G. Hasanov
The main focus of this paper is commutators and maximal commutators on Orlicz spaces for fractional maximal functions and Riesz potential. The main advance in comparison with the e…
Characterizations of Lipschitz functions via the commutators of maximal function in Orlicz spaces on stratified Lie groups
Vagif S. Guliyev
We give necessary and sufficient conditions for the boundedness of the maximal commutators , the commutators of the maximal operator and the commutators of the shar…
Maximal and Calderon-Zygmund operators on the local variable Morrey-Lorentz spaces and some applications
A. Kucukaslan, V. S. Guliyev, C. Aykol +1
In this paper, we give the definition of local variable Morrey Lorentz spaces which are a new class of functions. Also, we prove the boundedness of the Hardy Littlewood maximal ope…
The Dirichlet problem for the uniformly higher-order elliptic equations in generalized weighted Sobolev-Morrey spaces
Vagif S. Guliyev, Tahir S. Gadjiev, Ayhan Serbetci
A priori estimates for the weak solutions the Dirichlet problem for the uniformly higher-order elliptic equations in a smooth bounded domain $Ω\subset \Rn$ in generalized weighted…
Commutators of Riesz potential in the vanishing generalized weighted Morrey spaces with variable exponent
Vagif S. Guliyev, Javanshir J. Hasanov, Xayyam A. Badalov
Let be an unbounded open set. We consider the generalized weighted Morrey spaces and the vanishing generalized weighted Morr…
Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz--Morrey spaces of the third kind
Fatih Deringoz, Vagif S. Guliyev, Eiichi Nakai +2
In the present paper, we will characterize the boundedness of the generalized fractional integral operators and the generalized fractional maximal operators on Orlicz s…
A characterization for fractional integral and its commutators in Orlicz and generalized Orlicz-Morrey spaces on spaces of homogeneous type
Vagif S. Guliyev, Fatih Deringoz
In this paper, we investigate the boundedness of maximal operator and its commutators in generalized Orlicz-Morrey spaces on the spaces of homogeneous type. As an application of th…
Fractional maximal function and its commutators on Orlicz spaces
Vagif S. Guliyev, Fatih Deringoz, Sabir G. Hasanov
In this paper, we find necessary and sufficient conditions for the boundedness of fractional maximal operator on Orlicz spaces. As an application of this results we consider…
A characterization for Adams-type boundedness of the fractional maximal operator on generalized Orlicz-Morrey spaces
Fatih Deringoz, Vagif S. Guliyev, Sabir G. Hasanov
In the present paper, we shall give a characterization for weak/strong Adams-type boundedness of the fractional maximal operator on generalized Orlicz-Morrey spaces.
Generalized Hardy-Morrey spaces
Ali Akbulut, Vagif Guliyev, Takahiro Noi +1
The generalized Morrey space was defined independetly by T. Mizuhara 1991 and E. Nakai in 1994. Generalized Morrey space is equipped with a para…
The Dirichlet problem in a class of generalized weighted spaces
Vagif S. Guliyev, Mehriban Omarova, Lubomira Softova
We show continuity in generalized weighted Morrey spaces of sub-linear integral operators generated by some classical integral operators and commutators. The obtained estimates are…
Boundedness of intrinsic square functions and their commutators on generalized weighted Orlicz-Morrey spaces
Vagif Guliyev, Mehriban Omarova, Yoshihiro Sawano
We shall investigate the boundedness of the intrinsic square functions and their commutators on generalized weighted Orlicz-Morrey spaces . In all the c…
Boundedness of fractional maximal operator and its commutators on generalized Orlicz-Morrey spaces
Vagif S. Guliyev, Fatih Deringoz
We consider generalized Orlicz-Morrey spaces including their weak versions . We find the sufficient conditions on the pairs $(φ_…
Commutators of vector-valued intrinsic square functions on vector-valued generalized weighted Morrey spaces
Vagif S. Guliyev, M. N. Omarova
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 $M^{Φ,φ}_{…
Boundedness of Intrinsic Square Functions and their Commutators on Generalized Orlicz-Morrey Spaces
Vagif S. Guliyev, Fatih Deringoz
We study the boundedness of intrinsic square functions and their commutators on generalized Orlicz-Morrey spaces . In all the cases the conditions for the bo…
Some aspects of harmonic analysis related to Gegenbauer expansions on the half-line
Vagif S. Guliyev, Elman J. Ibrahimov
In this paper we consider the generalized shift operator, generated by the Gegenbauer differential operator $$ G =\left(x^2-1\right)^{\frac{1}{2}-λ} \frac{d}{dx} \left(x^2-1\right)…
Associated Spaces of Generalized Classical Lorentz Spaces
Canay Aykol, Amiran Gogatishvili, Vagif S. Guliyev
In this paper we have calculated the associate norms of the generalized classical Lorentz spaces.
On the Riesz potential and its commutators on generalized Orlicz-Morrey spaces
Vagif S. Guliyev, Fatih Deringoz
We consider generalized Orlicz-Morrey spaces $M_{Φ,φ}(\Rn)$ including their weak versions $WM_{Φ,φ}(\Rn)$. In these spaces we prove the boundedness of the Riesz potential from $M_{…
Generalized local Morrey spaces and fractional integral operators with rough kernel
Vagif S. Guliyev
Let $M_{Ω,\a}$ and $I_{Ω,\a}$ be the fractional maximal and integral operators with rough kernels, where $0 < \a < n$. In this paper, we shall study the continuity properties of $M…
Generalized Morrey regularity for parabolic equations with discontinuity data
Vagif S. Guliyev, Lubomira G. Softova
We obtain continuity in generalized parabolic Morrey spaces of sublinear integrals generated by the parabolic Calderón-Zygmund operators and its commutator with functions. Th…
Maximal, potential and singular operators in the local "complementary" variable exponent Morrey type spaces
Vagif S. Guliyev, Javanshir J. Hasanov, Stefan G. Samko
We consider local "complementary" generalized Morrey spaces ${\dual \cal M}_{\{x_0\}}^{p(\cdot),\om}(\Om)$ in which the -means of function are controlled over $\Om\backslash B(x…