Results 1 to 10 of about 627,768 (311)

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

Sahand 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

Boundedness of p-Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces

Journal of Function Spaces, 2023
In this paper, we establish the boundedness of classical p-adic singular integrals on Morrey-Herz spaces, as well as the boundedness of multilinear commutator generated by p-adic singular integral operators and Lipschitz functions or by p-adic singular ...
Yanlong Shi, Li Li, Zhonghua Shen
doaj   +1 more source

BCR algorithm and the $T(b)$ theorem [PDF]

, 2007
We show using the Beylkin-Coifman-Rokhlin algorithm in the Haar basis that any singular integral operator can be written as the sum of a bounded operator on $L^p ...
Auscher, Pascal, Yang, Qi Xiang
core   +3 more sources

To the numerical solution of singular integro-differential Prandtl equation by the method of orthogonal polynomials

Журнал Белорусского государственного университета: Математика, информатика, 2019
In the paper, computational schemes for solving the Cauchy problem for the singular integro-differential Prandtl equation with a singular integral over a segment of the real axis, understood in the sense of the Cauchy principal value, are constructed and
Galina A. Rasolko
doaj   +1 more source

Three-Dimensional Elastodynamic Analysis Employing Partially Discontinuous Boundary Elements

Algorithms, 2021
Compared with continuous elements, discontinuous elements advance in processing the discontinuity of physical variables at corner points and discretized models with complex boundaries.
Yuan Li, Ni Zhang, Yuejiao Gong, Wentao Mao, Shiguang Zhang   +4 more
doaj   +1 more source

BOUNDS FOR VOLUMES OF SUB-LEVEL SETS OF POLYNOMIALS AND APPLICATIONS

Tạp chí Khoa học Đại học Đà Lạt, 2022
In this paper, we present some explicit exponents in the estimates for the volumes of sub-level sets of polynomials on bounded sets and applications to the decay of oscillatory integrals and the convergence of singular integrals.
Loi Le Ta, Minh Quy Pham
doaj   +1 more source

Some one-sided estimates for oscillatory singular integrals [PDF]

, 2014
The purpose of this paper is to establish some one-sided estimates for oscillatory singular integrals. The boundedness of certain oscillatory singular integral on weighted Hardy spaces $H^{1}_{+}(w)$ is proved. It is here also show that the $H^{1}_{+}(w)$
Fu, Zunwei, Lu, Shanzhen, Pan, Yibiao, Shi, Shaoguang   +3 more
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TO THE QUESTION OF UNIQUENESS OF DEGENERATE SINGULAR INTEGRAL EQUATIONS SOLUTIONS

Известия 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, N. Yu. Kudryashova, A. A. Shaldaeva   +2 more
doaj   +1 more source

Quarkonium bound-state problem in momentum space revisited [PDF]

, 2006
A semi-spectral Chebyshev method for solving numerically singular integral equations is presented and applied in the quarkonium bound-state problem in momentum space.
Deloff, A.
core   +3 more sources

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

Journal 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