• Multilinear commutators of Calderón–Zygmund operator on generalized variable exponent Morrey spaces 

  Ekincioğlu, İsmail; Keskin, Cansu; Şerbetçi, Ayhan (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 ...

• Calderón-Zygmund operators with kernels of Dini’s type on generalized weighted variable exponent Morrey spaces 

  Guliyev, Vagif S. (Birkhauser, 2021)

  Let T be a Calderón-Zygmund 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 

  Yıldırım, Yasemin; Ata, Erhan (Elsevier, 2021)

  In this study, first of all, we express the points of a surface M in 3-dimensional 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 

  Bandaliyev, Rovshan A.; Górka, Przemysław; Guliyev, Vagif S.; Sawano, Yoshihiro (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 

  Keskin, Cansu (Birkhauser, 2021)

  B-maximal functions in HMq,Δνp Hardy–Morrey spaces, related to a Laplace–Bessel differential operator, are studied. We give B-maximal characterization of HMq,Δνp Hardy–Morrey spaces and study the atomic decomposition theory ...

• On Quasi-Sasakian 3-Manifolds Admitting η-Ricci Solitons 

  Turan, Mine; Yetim, Cemile; Chaubey, Sudhakar Kumar (Faculty of Sciences and Mathematics, University of Nis, Serbia, 2019)

  The object of the present paper is to prove that in a quasi-Sasakian 3-manifold admitting eta-Ricci 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 

  Turgut, Sedat; Turgut, İlknur Gülşen (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 Bn-potential type integrals on Hp δ ν hardy spaces 

  Keskin, Cansu; Ekincioğlu, İsmail (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 

  Odabaş, Alper; Ulualan, Erdal (Hacettepe University, 2020)

  In this work, we explain the close relationship between an ideal map structure S → EndR(R) on a homomorphism of commutative k-algebras 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 

  İbrahimov, Elman J.; Jafarova, S. A.; Ekincioğlu, Şeyma Elifnur (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 (G-potential) operators associated with Gegenbauer differential operator on generalized G-Morrey spaces. The results of this paper are ...

• Some inequalities for homogeneous B-n-potential type integrals on H-Delta nu(p) Hardy spaces 

  Keskin, Cansu; Ekincioğlu, İsmail (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 H-Delta nu(p) to ...

• Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces 

  Guliyev, Vagif; Armutçu, Hatice; Azeroğlu, Tahir (De Gruyter, 2020)

  In this paper, we give a boundedness criterion for the potential operator I-a in the local generalized Morrey space LMp,phi(t(0))(Gamma) and the generalized Morrey space M-p,M-phi(Gamma) defined on Carleson curves Gamma, ...

• Commutators of the fractional maximal function in generalized Morrey spaces on Carnot groups 

  Guliyev, Vagif Sabir (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 M-b,M-alpha, 0 <= alpha < Q on the Carnot group G (i.e. nilpotent stratified Lie ...

• Fourier-Bessel transforms of Dini-Lipschitz functions on Lebesgue spaces L p , γ ( R n + ) L ​p,γ ​​ (R ​+ ​n ​​ ) 

  Ekincioğlu, İsmail; Kaya, Esra; Ekincioğlu, Şeyma Elifnur (Ankara Üniversitesi, 2020)

  In this paper, we prove a generalization of Titchmarsh's theorem for the Laplace-Bessel 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 

  Guliyev, Vagif Sabir; Ibrahimov, E.J.; Ekincioğlu, İsmail; Jafarova, S. Ar (Global Science Press, 2020)

  In this paper we prove an O'Neil inequality for the convolution operator (G-convolution) 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 

  Guliyev, Vagif Sabir; Mammadov, Yagub Y; Muslumova, Fatma A. (Global Science Press, 2020)

  On the real line, the Dunkl operators D-v(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 differential-difference operators associated with the reflection group Z(2) ...

• The Dirichlet problem for the uniformly elliptic equation in generalized weighted Morrey spaces 

  Gadjiev, Tahir S.; Guliyev, Vagif Sabir; Suleymanova, Konul G. (Akademiai Kiado Rt., 2020)

  In this paper, we obtain generalized weighted Sobolev-Morrey estimates with weights from the Muckenhoupt class Ap by establishing boundedness of several important operators in harmonic analysis such as Hardy-Littlewood ...

• Simplicial algebroids and internal categories within R-algebroids 

  Gürmen Alansal, Özgün; Ulualan, Erdal (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 

  Yusufoğlu, Elçin; Çetinkaya, İlkem Turhan (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 Calderon-Zygmund kernel on vanishing generalized Morrey spaces 

  Guliyev, Vagif; Ahmadli, Aysel; Ekincioğlu, İsmail (Tbilisi Centre for Mathematical Sciences, 2020)

  In this paper, the authors investigate the boundedness of the oscillatory singular integrals with variable CalderOn-Zygmund kernel on generalized Morrey spaces M-p,M-phi(R-n) and the vanishing generalized Morrey spaces ...

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