Conditional Banach Spaces, Conditional Projections and Generalized Martingales.
Characterization of Excessive Functions on Finely Open. Nearly Borel Sets.
On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms.
Isomorphismen, topologische Maßräume.
Totally disconnected set non-removable for Lipschitz continous bounded analytic functions.
On superfluous subsemimodules.
Existence and asymptotic expansion of solutions to a nonlinear wave equation with a memory condition at the boundary.
Subextension of plurisubharmonic functions without changing the Monge-Ampère measures and applications
The aim of the paper is to investigate subextensions with boundary values of certain plurisubharmonic functions without changing the Monge-Ampère measures. From the results obtained, we deduce that if a given sequence is convergent in -capacity then the sequence of the Monge-Ampère measures of subextensions is weakly*-convergent. As an application, we investigate the Dirichlet problem for a nonnegative measure μ in the class ℱ(Ω,g) without the assumption that μ vanishes on all pluripolar sets.
Generalized Morrey spaces associated to Schrödinger operators and applications
We first introduce new weighted Morrey spaces related to certain non-negative potentials satisfying the reverse Hölder inequality. Then we establish the weighted strong-type and weak-type estimates for the Riesz transforms and fractional integrals associated to Schrödinger operators. As an application, we prove the Calderón-Zygmund estimates for solutions to Schrödinger equation on these new spaces. Our results cover a number of known results.
Cauchy-Neumann problem for second-order general Schrödinger equations in cylinders with nonsmooth bases.
Integral transforms of Fourier cosine and sine generalized convolution type.
Generalized Convolution Transforms and Toeplitz Plus Hankel Integral Equations
Mathematics Subject Classification: 44A05, 44A35 With the help of a generalized convolution and prove Watson’s and Plancherel’s theorems. Using generalized convolutions a class of Toeplitz plus Hankel integral equations, and also a system of integro-differential equations are solved in closed form.
A Generalized Convolution with a Weight Function for the Fourier Cosine and Sine Transforms
A generalized convolution with a weight function for the Fourier cosine and sine transforms is introduced. Its properties and applications to solving a system of integral equations are considered.
On the Fourier cosine—Kontorovich-Lebedev generalized convolution transforms
We deal with several classes of integral transformations of the form where is an operator. In case is the identity operator, we obtain several operator properties on with weights for a generalized operator related to the Fourier cosine and the Kontorovich-Lebedev integral transforms. For a class of differential operators of infinite order, we prove the unitary property of these transforms on and define the inversion formula. Further, for an other class of differential operators of finite...
Remarks on coupled fixed point theorem in cone metric spaces
Positive solutions for an m-point boundary-value problem.
Analysis of cross-ply laminated plates using isogeometric analysis and unified formulation
In this paper, we study the static bending and free vibration of cross-ply laminated composite plates using sinusoidal deformation theory. The plate kinematics is based on the recently proposed Carrera Unified Formulation (CUF), and the field variables are discretized with the non-uniform rational B-splines within the framework of isogeometric analysis (IGA). The proposed approach allows the construction of higher-order smooth functions with less computational effort.Moreover, within the framework...
A result on the comparison principle for the log canonical threshold of plurisubharmonic functions
We prove a comparison principle for the log canonical threshold of plurisubharmonic functions under an assumption on complex Monge-Ampère measures.
Some characterizations of the class and applications
We give some characterizations of the class and use them to establish a lower estimate for the log canonical threshold of plurisubharmonic functions in this class.
Interpolation spaces and weighted pseudo almost automorphic solutions to parabolic equations and applications to fluid dynamics
We investigate the existence, uniqueness and polynomial stability of the weighted pseudo almost automorphic solutions to a class of linear and semilinear parabolic evolution equations. The necessary tools here are interpolation spaces and interpolation theorems which help to prove the boundedness of solution operators in appropriate spaces for linear equations. Then for the semilinear equations the fixed point arguments are used to obtain the existence and stability of the weighted pseudo almost...
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