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Articles 31 - 36 of 36
Full-Text Articles in Physical Sciences and Mathematics
On A Class Of Para-Sakakian Manifolds, Ci̇han Özgür
On A Class Of Para-Sakakian Manifolds, Ci̇han Özgür
Turkish Journal of Mathematics
In this study, we investigate Weyl-pseudosymmetric Para-Sasakian manifolds and Para-Sasakian manifolds satisfying the condition C \cdot S=0.
Maximal Oscillatory Singular Integrals With Kernels In L Log L(S^{N-1}), Ahmad Al-Salman
Maximal Oscillatory Singular Integrals With Kernels In L Log L(S^{N-1}), Ahmad Al-Salman
Turkish Journal of Mathematics
In this paper, we study the L^p mapping properties of a certain class of maximal oscillatory singular integral operators. We establish the L^p boundedness of our operators provided that their kernels belong to the natural space L log ^+L(S^{n-1}). Our result substantially improves a previously known result. Moreover, the approach developed in this paper can be applied to handle more general maximal oscillatory singular integral operators.
On Rough Singular Integrals Along Surfaces On Product Domains, Ahmad Al-Salman, Ali A. Al-Jarrah
On Rough Singular Integrals Along Surfaces On Product Domains, Ahmad Al-Salman, Ali A. Al-Jarrah
Turkish Journal of Mathematics
In this paper, we study a class of singular integrals along surfaces on product domains with kernels in L(log L)^2(S^{n-1} \times S^{m-1}). We formulate a general theorem concerning the L^p boundedness of these operators. As a consequence of this theorem we establish L^p estimates of several classes of operators whose L^p boundedness in the one parameter setting is known. The condition L(log L)^2(B^{n-1} \times S^{m-1}) is known to be an optimal size condition
On Linear The Homeomorphism Between Function Spaces C_P(X) And C_{P,A}(X) \Times C_P (A), Sabri̇ Bi̇rli̇k
On Linear The Homeomorphism Between Function Spaces C_P(X) And C_{P,A}(X) \Times C_P (A), Sabri̇ Bi̇rli̇k
Turkish Journal of Mathematics
In this paper, we investigate a linear homeomorphism between function spaces C_p(X) and C_{p,A}(X) \times C_p(A) , where X is a normal space and A is a neighborhood retraction of X.
On Space Of Parabolic Potentials Associated With The Singular Heat Operator, Si̇nem Sezer, İlham A. Ali̇ev
On Space Of Parabolic Potentials Associated With The Singular Heat Operator, Si̇nem Sezer, İlham A. Ali̇ev
Turkish Journal of Mathematics
Anisotropic spaces L_{p,\gamma}^{\alpha} of parabolic Bessel potentials, associated with the singular heat operator I-\Delta_{\gamma}+ \frac{\partial}{\partial t}, where \Delta_{\gamma} = \sum\limits_{k=1}^n \frac{\partial ^{2}}{\partial x_{k}^{2}} + \frac{2\gamma }{x_n}. \frac{\partial}{\partial x_n}, are introduced, and making use of special wavelet-type transform, a characterization of these spaces is obtained.
Submanifolds Of Riemannian Product Manifolds, Mehmet Atçeken
Submanifolds Of Riemannian Product Manifolds, Mehmet Atçeken
Turkish Journal of Mathematics
In this paper, we study the geometry of the semi-invariant submanifolds of a Riemannian product manifold. Fundamental properties of these type submanifolds such as the integrability of the distributions D, D^{\bot} and mixed-geodesic property are studied. Finally, necessary and sufficient conditions are given on a semi-invariant submanifold of Riemannian product manifold to be D-geodesic and D^{\bot}-geodesic.