Results 31 to 40 of about 248,172 (367)

Unbounded Wiener–Hopf Operators and Isomorphic Singular Integral Operators [PDF]

Complex Analysis and Operator Theory, 2021
AbstractSome basics of a theory of unbounded Wiener–Hopf operators (WH) are developed. The alternative is shown that the domain of a WH is either zero or dense. The symbols for non-trivial WH are determined explicitly by an integrability property. WH are characterized by shift invariance.
openaire   +4 more sources

Hiperbolic singular integral operators

Revista Matemática Iberoamericana, 1995
We define a class of integral operators which are singular relative to the hyperbolic metric on simply connected domains of the plane. We study the necessary and sufficient conditions for such operators to be bounded on L^2 of the upper half plane ...
openaire   +3 more sources

Singular Integral Operators on C 1 Manifolds [PDF]

Transactions of the American Mathematical Society, 1993
We show that the kernel of a singular integral operator is real analytic in R n ∖ { 0 } {{\mathbf {R}}^n}\backslash \{ 0\} iff the symbol [Fourier transform] is real analytic in
Lewis, Jeff E., Selvaggi, Renata, Sisto, Irene   +2 more
openaire   +1 more source

p-adic singular integrals and their commutators in generalized Morrey spaces

Journal of Inequalities and Applications, 2019
For a prime number p, let Qp $\mathbb{Q}_{p}$ be the field of p-adic numbers. In this paper, we establish the boundedness of a class of p-adic singular integral operators on the p-adic generalized Morrey spaces.
Hui X. Mo, Zhe Han, Liu Yang, Xiao J. Wang   +3 more
doaj   +1 more source

Solution of the Goursat Problem for a Fourth-Order Hyperbolic Equation with Singular Coefficients by the Method of Transmutation Operators

Mathematics, 2023
In this paper, the method of transmutation operators is used to construct an exact solution of the Goursat problem for a fourth-order hyperbolic equation with a singular Bessel operator.
Sergei M. Sitnik, Shakhobiddin T. Karimov   +1 more
doaj   +1 more source

Sparse Domination Theorem for Multilinear Singular Integral Operators with $L^{r}$-Hörmander Condition [PDF]

, 2016
Tuomas Hytonen's ERC Starting Grant ``Analytic-probabilistic methods for borderline singular integrals''.
Kangwei Li
semanticscholar   +1 more source

Boundedness of several operators on weighted Herz spaces

Journal of Function Spaces and Applications, 2009
We consider the boundedness of singular integral operators and fractional integral operators on weighted Herz spaces. For this purpose we introduce generalized Herz space. Our results are the best possible.
Yasuo Komori, Katsuo Matsuoka
doaj   +1 more source

Weighted Endpoint Estimates for Commutators of Singular Integral Operators on Orlicz-Morrey Spaces

Journal of Function Spaces, 2019
In this paper, we obtain the weighted endpoint estimates for the commutators of the singular integral operators with the BMO functions and the associated maximal operators on Orlicz-Morrey Spaces.
Jinyun Qi, Hongxia Shi, Wenming Li
doaj   +1 more source

On Weighted Hadamard-Type Singular Integrals and Their Applications

Abstract and Applied Analysis, 2007
By means of an expression with a kind of integral operators, some properties of the weighted Hadamard-type singular integrals are revealed. As applications, the solution for certain strongly singular integral equations is discussed and illustrated.
Yong Jia Xu
doaj   +1 more source

Shape derivatives of boundary integral operators in electromagnetic scattering. Part I: Shape differentiability of pseudo-homogeneous boundary integral operators

, 2012
In this paper we study the shape differentiability properties of a class of boundary integral operators and of potentials with weakly singular pseudo-homogeneous kernels acting between classical Sobolev spaces, with respect to smooth deformations of the ...
Costabel, Martin, Louër, Frédérique Le   +1 more
core   +3 more sources