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On local properties of singular integral

open access: yesUkrains’kyi Matematychnyi Zhurnal, 2023
UDC 517.5 Let γ be a regular curve. We study the local properties of singular integrals in the  H
Mamedkhanov, J. I., Jafarov, S. Z.
openaire   +2 more sources

Singular Higher-Order Complete Vector Bases for Finite Methods [PDF]

open access: yes, 2004
This paper presents new singular curl- and divergence- conforming vector bases that incorporate the edge conditions. Singular bases complete to arbitrarily high order are described in a unified and consistent manner for curved triangular and ...
Graglia, Roberto, Lombardi, Guido
core   +1 more source

Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications

open access: yesJournal of Inequalities and Applications, 2017
The purpose of the present paper is to establish some new retarded weakly singular integral inequalities of Gronwall-Bellman type for discontinuous functions, which generalize some known weakly singular and impulsive integral inequalities.
Zizun Li, Wu-Sheng Wang
doaj   +1 more source

TO THE QUESTION OF UNIQUENESS OF DEGENERATE SINGULAR INTEGRAL EQUATIONS SOLUTIONS

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The work is devoted to the study of sets of functions in which the condition for the unique solvability of degenerate singular integral equations is satisfied.
I. V. Boykov   +2 more
doaj   +1 more source

Singular integral operators associated to curves with rational components [PDF]

open access: yes, 2008
We prove L-p(R-n),1 < p < infinity, bounds for[GRAPHICS]and[GRAPHICS]where R-j(t) = P-j(t)/Q(j)(t),j = 1,2...,n, are rational functions. Our bounds depend only on the degrees of the polynomials P-j, Q(j) and, in particular, they do not depend on ...
Folch-Gabayet, Magali, Wright, James
core   +1 more source

$L_{p;r} $ spaces: Cauchy Singular Integral, Hardy Classes and Riemann-Hilbert Problem in this Framework [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
In the present work the space  $L_{p;r} $ which is continuously embedded into $L_{p} $  is introduced. The corresponding Hardy spaces of analytic functions are defined as well. Some properties of the functions from these spaces are studied.
Ali Huseynli, Asmar Mirzabalayeva
doaj   +1 more source

L P estimates for the maximal singular integral in terms of the singular integral [PDF]

open access: yesJournal d'Analyse Mathématique, 2015
This paper continues the study, initiated in the works {MOV} and {MOPV}, of the problem of controlling the maximal singular integral $T^{*}f$ by the singular integral $Tf$. Here $T$ is a smooth homogeneous Calderón-Zygmund singular integral operator of convolution type.
Bosch-Camós, Anna   +2 more
openaire   +3 more sources

Solutions of singular integral equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
Qualitative behavior of solutions of possibly singluar integral equations is studied. It includes properties such as positivity, boundedness and monotonicity of the solutions of the infinite interval.
Rina Ling
doaj   +1 more source

H ? filtering for stochastic singular fuzzy systems with time-varying delay [PDF]

open access: yes, 2014
This paper considers the H? filtering problem for stochastic singular fuzzy systems with timevarying delay. We assume that the state and measurement are corrupted by stochastic uncertain exogenous disturbance and that the system dynamic is modeled ...
Cai, Min   +3 more
core   +1 more source

Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces

open access: yesAbstract and Applied Analysis, 2014
We found that the classical Calderón-Zygmund singular integral operators are bounded on both the classical Hardy spaces and the product Hardy spaces. The purpose of this paper is to extend this result to a more general class. More precisely, we introduce
Chaoqiang Tan
doaj   +1 more source

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