TITLE

On Weighted Hadamard-Type Singular Integrals and Their Applications

AUTHOR(S)
Yong Jia Xu
PUB. DATE
January 2007
SOURCE
Abstract & Applied Analysis;2007, p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
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.
ACCESSION #
28138849

 

Related Articles

  • L p (ℝ n ) Boundedness for the Maximal Operator of Multilinear Singular Integrals with Calderón–Zygmund Kernels. Yan, Dun; Meng, Yan; Lan, Sen // Acta Mathematica Sinica;Jun2005, Vol. 21 Issue 3, p497 

    In this paper, the authors consider a class of maximal multilinear singular integral operators and maximal multilinear oscillatory singular integral operators with standard Calderón–Zygmund kernels, and obtain their boundedness on L p (ℝ n ) for 1 < p < ∞.

  • Modeling of partial closure of cracks in a perforated isotropic medium reinforced by a regular system of stringers. Mir-Salim-zadeh, M. V. // Journal of Applied Mechanics & Technical Physics;Mar2010, Vol. 51 Issue 2, p269 

    A mathematical model of partial closure of a crack in a perforated isotropic medium with a system of rectilinear foreign inclusions is constructed. Such a medium can be interpreted as an unbounded plate reinforced by a regular system of ribs whose cross sections are shaped as narrow rectangles....

  • Universal weight systems and the Kontsevich integral for the unknot. Allenov, S. // Journal of Mathematical Sciences;Nov2007, Vol. 147 Issue 1, p6391 

    The value of the $$\mathfrak{g}\mathfrak{l}(1|1)$$ -weight system for the Kontsevich integral of the unknot is found. This value is a normalizing factor used in calculating knot invariants. A weight system is a function defined on the space of chordal diagrams and taking values in the center...

  • RECENT SURVEY AND APPLICATION OF THE simSUNDT SOFTWARE. Persson, G.; Wirdelius, H. // AIP Conference Proceedings;2/22/2010, Vol. 1211 Issue 1, p2125 

    The simSUNDT software is based on a previous developed program (SUNDT). The latest version has been customized in order to generate realistic synthetic data (including a grain noise model), compatible with a number of off-line analysis software. The software consists of a Windows®-based...

  • Stress intensity factors for cracks at the vertex of a rounded V-notch. Kazberuk, A. // Materials Science;Sep2009, Vol. 45 Issue 5, p676 

    The method of singular integral equations was applied to determine the stress intensity factors for a system of cracks emanating from the vertex of an infinite rounded V-notch subjected to symmetric loading. The numerical values were obtained for two cases—the case of a single crack and...

  • On the Polyconvolution with the Weight Function for the Fourier Cosine, Fourier Sine, and the Kontorovich-Lebedev Integral Transforms. Nguyen Xuan Thao // Mathematical Problems in Engineering;2010, Vol. 2010, Special section p1 

    The polyconvolution with the weight function γ of three functions f, g, and h for the integral transforms Fourier sine (Fs), Fourier cosine (Fc), and Kontorovich-Lebedev (Kiy), which is denoted by γ*(f, g, h)(x), has been constructed. This polyconvolution satisfies the following...

  • SOME CLASSES OF MEROMORPHIC MULTIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING CERTAIN LINEAR OPERATOR. Juma, Abdul Rahman S.; Hussain, Hazha Zirar // International Journal of Basic & Applied Sciences;Jun2013, Vol. 13 Issue 3, p56 

    Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce two P novel subclasses Da,c,λ[p,α,A,B] and Σ"p,a,c,λ[α, β] of meromorphically multivalent functions. In this paper, we obtain coefficient estimates, distortion...

  • On Almost Isometric Embedding from C(Ω) into C0(Ω0). Guang Gui Ding // Acta Mathematica Sinica;Oct2005, Vol. 21 Issue 5, p1045 

    In this paper we give the suffcient and necessary condition for the existence of any almost isometric operator from C(Ω) into C0(Ω0). As a corollary, we show that there is no ∈–isometry from any abstract M space with a strong unit into C0(Γ) if $$ 0 < \in < \frac{1} {9}. $$

  • POWER-BOUNDED OPERATORS AND RELATED NORM ESTIMATES. N. KALTON; S. MONTGOMERY-SMITH; K. OLESZKIEWICZ; Y. TOMILOV // Journal of the London Mathematical Society;Oct2004, Vol. 70 Issue 2, p463 

    It is considered whether $ L\,{=}\,\limsup_{n\to\infty} n \snormo{T^{n+1}-T^n}\,\lt\,\infty$ implies that the operator $T$ is power-bounded. It is shown that this is so if $L\lt1/e$, but it does not necessarily hold if $L\,{=}\,1/e$. As part of the methods,...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics