• A Note On The Paper ”Singular Integral Operators in Generalized Morrey Spaces On Curves in The Complex Plane”, Medıterr. J. Math. (2017) 14: 203. doi.org/10.1007/S00009–017–1004–9, By E. Burtseva 

  Guliyev, Vagif S.; Sawano, Yoshihiro (Element D.O.O., 2022)

  We show that the results of the paper mentioned in the title are known or follow from the known results. © 2022. Journal of Mathematical Inequalities. All Rights Reserved.

• Generalized Weighted Sobolev–Morrey Estimates For Hypoelliptic Operators With Drift On Homogeneous Groups 

  Guliyev, Vagif S. (Element D.O.O., 2022)

  Let G = ( RN,◦,δλ ) be a homogeneous group, Q be the homogeneous dimension of G, X0,X1,…,Xm be left invariant real vector fields on G and satisfy Hörmander’s rank condition on RN. Assume that X1,…,Xm (m ≤ N −1) are homogeneous ...

• Implementation of technology enhanced activities for teaching slope in daily life situations 

  Karpuzcu, Seçil Yemen; Bostan, Mine Işıksal (Ankara University, 2021)

  This study aims to present a mathematics teaching content aiming to support the teaching of slope for understanding slope conceptually in the classroom environment using computers and dynamic mathematics software. Within ...

• Oscillation criteria for first-order dynamic equations with nonmonotone delays 

  Kılıç, Nurten; Öcalan, Özkan (Hacettepe University, 2021)

  In this paper, we consider the first-order dynamic equation as the following:[formula presented] where pi ∈ Crd[t0, ∞)T, R+, τi ∈ Crd ([t0, ∞)T, T) (i = 1, 2, …, m) and τi(t) ≤ t, limt→∞ τi(t) = ∞. When the delay terms ...

• A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces 

  Kaya, Esra (De Gruyter Open Ltd, 2021)

  In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (B-maximal operator) on Lp(middot;)γ(ℝnk,+) variable exponent Lebesgue spaces. We will give a necessary condition for the ...

• Maximal and Calderón–Zygmund operators on the local variable Morrey–Lorentz spaces and some applications 

  Küçükaslan, Abdülhamit; Guliyev, Vagif S.; Akyol, Canay; Şerbetçi, Ayhan (Taylor and Francis Ltd., 2021)

  In this paper, we give the definition of local variable Morrey–Lorentz spaces (Formula presented.) which are a new class of functions. Also, we prove the boundedness of the Hardy–Littlewood maximal operator M and ...

• CalderÓn-zygmund operators with kernels of dini’s type and their multilinear commutators on generalized variable exponent morrey spaces 

  Guliyev, Vagif S.; İsmayilova, Afag F. (Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 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 T⃗b be the multilinear commutators of T with BMOm functions. In this paper, we study the ...

• Bessel type Kolmogorov inequalities on weighted Lebesgue spaces 

  Ekincioğlu, İsmail; Kaya, Esra (Taylor and Francis Ltd., 2021)

  In this paper, we obtained Bessel type Kolmogorov inequalities for Riesz–Bessel transforms related to generalized shift operator in weighted Lebesgue spaces. © 2019 Informa UK Limited, trading as Taylor & Francis Group.

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

  Guliyev, Vagif S. (Taylor and Francis Ltd., 2021)

  In this paper, we obtain new results of the Spanne and Adams type boundedness characterization of the fractional maximal commutator operator (Formula presented.), (Formula presented.) on the Carnot group (Formula presented.) ...

• Generalized Bessel potential and its application to non-homogeneous singular screened Poisson equation 

  Shishkina, Elina L.; Ekincioğlu, İsmail; Keskin, Cansu (Taylor and Francis Ltd., 2021)

  In this paper, generalized Bessel potential is studied. A generalization is achieved by considering the singular Laplace–Bessel operator instead of the Laplace operator in the construction of the Bessel potential. First, ...

• Peiffer pairings in multisimplicial groups and crossed n cubes and applications for bisimplicial groups 

  Alansal, Özgün Gürmen; Ulualan, Erdal (TÜBİTAK, 2021)

  We explore the Peiffer pairings within the Moore complex of multisimplicial groups, and as an application, we give a detailed construction of a crossed n cube from an n simplicial group in terms of these pairings. We also ...

• Oscillation tests for nonlinear differential equations with nonmonotone delays 

  Kılıç, Nurten (TUBİTAK, 2021)

  In this paper, our aim is to investigate a class of first-order nonlinear delay differential equations with several deviating arguments. In addition, we present some sufficient conditions for the oscillatory solutions of ...

• Oscillation tests for nonlinear differential equations with several nonmonotone advanced arguments 

  Kılıç, Nurten; Öcalan, Özkan; Özkan, Umut Mutlu (Tsing Hua University, 2021)

  The objective of this paper is to examine oscillatory behaviour of all solutions of first order nonlinear advanced differential equations with several nonmonotone arguments and to establish new oscillation criteria. Examples ...

• Regularity of solutions of elliptic equations in divergence form in modified local generalized Morrey spaces 

  Guliyev, Vagif S.; Omarova, M.N.; Ragusa, M.A.; Scapellato, A. (Birkhauser, 2021)

  Aim of this paper is to prove regularity results, in some Modified Local Generalized Morrey Spaces, for the first derivatives of the solutions of a divergence elliptic second order equation of the form Lu:=∑i,j=1n(aij(x) ...

• Characterizations for the Fractional Integral Operator and its Commutators in Generalized Weighted Morrey Spaces on Carnot Groups 

  Guliyev, Vagif S.; Ekincioğlu, İsmail (Element D.O.O., 2021)

  In this paper, we shall give a characterization for the strong and weak type Spanne type boundedness of the fractional integral operator Iα, 0 < α < Q on Carnot group (Formula presented) on generalized weighted Morrey ...

• Generalized Sobolev–Morrey estimates for hypoelliptic operators on homogeneous groups 

  Guliyev, Vagif S. (Springer-Verlag Italia s.r.l., 2021)

  Let G= (RN, ∘ , δλ) be a homogeneous group, Q is the homogeneous dimension of G, X, X1, … , Xm be left invariant real vector fields on G and satisfy Hörmander’s rank condition on RN. Assume that X1, … , Xm(m≤ N- 1) are ...

• 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 ...

• On the Boundedness of the Generalized Translation Operator on Variable Exponent Lebesgue Spaces 

  Ekincioğlu, İsmail; Shishkina, Elina L.; Kaya, Esra (Springer Science and Business Media B.V., 2021)

  In this paper we are deal with the generalized translation operator generated by the Bessel operator in variable exponent Lebesgue spaces. The behavior of this generalized translation operator is well known on weighted ...

• Nonlinear Elliptic Equations with Small BMO Coefficients in Nonsmooth Domains in Generalized Morrey Spaces 

  Gadjiev, Tahir S.; Guliyev, Vagif S. (Element D.O.O., 2021)

  We obtain the generalized Sobolev-Morrey spaces W1p,ϕ(Ω) estimate for weak solutions of a boundary value problem for nonlinear elliptic equations with BMO coefficients in nonsmooth domains. We investigate regularity of the ...

• Bessel transforms of dini-lipschitz functions on lebesgue spaces lp, γ(Rn +) 

  Kaya, Esra; Ekincioğlu, İsmail (Semnan University, Center of Excellence in Nonlinear Analysis and Applications, 2021)

  In this paper, we obtain a generalization of Titchmarsh’s theorem for the Bessel transform for func- tions satisfying the (ψ, p)-Bessel Lipschitz condition in the Lebesgue space Lp, γ (Rn +) for 1[removed]0. © 2021, Semnan ...

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