Makale Koleksiyonu
Recent Submissions

Multilinear commutators of Calderón–Zygmund operator on generalized variable exponent Morrey spaces
(Birkhauser, 2021)In this paper, we study the boundedness of multilinear commutators of Calderón–Zygmund operators Tb on generalized variable exponent Morrey spaces Mp(·),φ. Let b= (b1, … , bm) and bi∈ BMO for i= 1 , … , m. Then the sufficient ... 
CalderónZygmund operators with kernels of Dini’s type on generalized weighted variable exponent Morrey spaces
(Birkhauser, 2021)Let T be a CalderónZygmund operator of type ω with ω(t) being nondecreasing and satisfying a kind of Dini’s type condition and let Tb→ be the multilinear commutators of T with BMOm functions. In this paper, we study the ... 
Screw surfaces
(Elsevier, 2021)In this study, first of all, we express the points of a surface M in 3dimensional Euclidean space E3 by the form of dual quaternions. Then by applying the rigid motion to all points of M, we obtain a screw surface Mψ. ... 
Relatively Compact Sets in Variable Exponent Morrey Spaces on Metric Spaces
(Birkhauser, 2021)We study a characterization of the precompactness of sets in variable exponent Morrey spaces on bounded metric measure spaces. Totally bounded sets are characterized from several points of view for the case of variable ... 
Different approach to the decomposition theory of HMq,Δνp Hardy–Morrey spaces
(Birkhauser, 2021)Bmaximal functions in HMq,Δνp Hardy–Morrey spaces, related to a Laplace–Bessel differential operator, are studied. We give Bmaximal characterization of HMq,Δνp Hardy–Morrey spaces and study the atomic decomposition theory ... 
On QuasiSasakian 3Manifolds Admitting ηRicci Solitons
(Faculty of Sciences and Mathematics, University of Nis, Serbia, 2019)The object of the present paper is to prove that in a quasiSasakian 3manifold admitting etaRicci soliton, the structure function beta is a constant. As a consequence we obtain several important results. 
Me while i am learning mathematics: Reflections to elementary school students’ drawings
(T&K Academic, 2020)Each child will not become senior mathematicians in the future but all children have the right to get learning opportunities which he/she can develop his/her mathematical understanding at school. The success of children ... 
Some inequalities for homogeneous Bnpotential type integrals on Hp δ ν hardy spaces
(Hacettepe University, 2020)We prove the norm inequalities for potential operators and fractional integrals related to generalized shift operator defined on spaces of homogeneous type. We show that these operators are bounded from Hp Δ ν to Hq Δ ν, ... 
Higher dimensional algebras as ideal maps
(Hacettepe University, 2020)In this work, we explain the close relationship between an ideal map structure S → EndR(R) on a homomorphism of commutative kalgebras R → S and an ideal simplicial algebra structure on the associated bar construction ... 
Maximal and potential operators associated with gegenbauer differential operator on generalized morrey spaces
(Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2020)In this paper we study the boundedness of the maximal (Gmaximal) and potential (Gpotential) operators associated with Gegenbauer differential operator on generalized GMorrey spaces. The results of this paper are ... 
Some inequalities for homogeneous Bnpotential type integrals on HDelta nu(p) Hardy spaces
(Hacettepe University, 2020)We prove the norm inequalities for potential operators and fractional integrals related to generalized shift operator defined on spaces of homogeneous type. We show that these operators are bounded from HDelta nu(p) to ... 
Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces
(De Gruyter, 2020)In this paper, we give a boundedness criterion for the potential operator Ia in the local generalized Morrey space LMp,phi(t(0))(Gamma) and the generalized Morrey space Mp,Mphi(Gamma) defined on Carleson curves Gamma, ... 
Commutators of the fractional maximal function in generalized Morrey spaces on Carnot groups
(Taylor and Francis, 2020)In this paper, we obtain new results of the Spanne and Adams type boundedness characterization of the fractional maximal commutator operator Mb,Malpha, 0 <= alpha < Q on the Carnot group G (i.e. nilpotent stratified Lie ... 
FourierBessel transforms of DiniLipschitz functions on Lebesgue spaces L p , γ ( R n + ) L p,γ (R + n )
(Ankara Üniversitesi, 2020)In this paper, we prove a generalization of Titchmarsh's theorem for the LaplaceBessel differential operator in the space Lp,γ(Rn+)L_{p,\gamma}(\mathbb{R}^{n}_{+})Lp,γ(R+n) for functions satisfying the (ψ,p)(\psi,p)(ψ,p ... 
O'Neil Inequality for Convolutions Associated with Gegenbauer Differential Operator and some Applications
(Global Science Press, 2020)In this paper we prove an O'Neil inequality for the convolution operator (Gconvolution) associated with the Gegenbauer differential operator G(lambda). By using an O'Neil inequality for rearrangements we obtain a pointwise ... 
Boundedness Characterization of Maximal Commutators on Orlicz Spaces in the Dunkl Setting
(Global Science Press, 2020)On the real line, the Dunkl operators Dv(f)(x):= df(x)/dx + (2v +1) f(x)  f(x)/2x, for all x is an element of R, for all v >= 1/2 are differentialdifference operators associated with the reflection group Z(2) ... 
The Dirichlet problem for the uniformly elliptic equation in generalized weighted Morrey spaces
(Akademiai Kiado Rt., 2020)In this paper, we obtain generalized weighted SobolevMorrey estimates with weights from the Muckenhoupt class Ap by establishing boundedness of several important operators in harmonic analysis such as HardyLittlewood ... 
Simplicial algebroids and internal categories within Ralgebroids
(Tbilisi Centre for Mathematical Sciences, 2020)In this work, by defining Peiffer pairings in the Moore complex of a simplicial algebgroid, we give the close relationship between the category of simplicial algebroids with Moore complex of length 1 and that of internal ... 
A quadrature approach to the generalized frictionless shearing contact problem
(Tbilisi Centre for Mathematical Sciences, 2020)In this study, the generalization of a frictionless contact problem in case of shearing deformation for an elastic inhomogeneous half space is presented. The basic equations of the elasticity theory and Fourier transform ... 
Oscillatory integrals with variable CalderonZygmund kernel on vanishing generalized Morrey spaces
(Tbilisi Centre for Mathematical Sciences, 2020)In this paper, the authors investigate the boundedness of the oscillatory singular integrals with variable CalderOnZygmund kernel on generalized Morrey spaces Mp,Mphi(Rn) and the vanishing generalized Morrey spaces ...