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  1. Journal of Fourier Analysis and Applications
  2. Journal of Fourier Analysis and Applications : Volume 6
  3. Journal of Fourier Analysis and Applications : Volume 6, Issue 2, March 2000
  4. Singular integrals in the Cesàro sense
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Journal of Fourier Analysis and Applications : Volume 23
Journal of Fourier Analysis and Applications : Volume 22
Journal of Fourier Analysis and Applications : Volume 21
Journal of Fourier Analysis and Applications : Volume 20
Journal of Fourier Analysis and Applications : Volume 19
Journal of Fourier Analysis and Applications : Volume 18
Journal of Fourier Analysis and Applications : Volume 17
Journal of Fourier Analysis and Applications : Volume 16
Journal of Fourier Analysis and Applications : Volume 15
Journal of Fourier Analysis and Applications : Volume 14
Journal of Fourier Analysis and Applications : Volume 13
Journal of Fourier Analysis and Applications : Volume 12
Journal of Fourier Analysis and Applications : Volume 11
Journal of Fourier Analysis and Applications : Volume 10
Journal of Fourier Analysis and Applications : Volume 9
Journal of Fourier Analysis and Applications : Volume 8
Journal of Fourier Analysis and Applications : Volume 7
Journal of Fourier Analysis and Applications : Volume 6
Journal of Fourier Analysis and Applications : Volume 6, Issue 6, November 2000
Journal of Fourier Analysis and Applications : Volume 6, Issue 5, September 2000
Journal of Fourier Analysis and Applications : Volume 6, Issue 4, July 2000
Journal of Fourier Analysis and Applications : Volume 6, Issue 3, May 2000
Journal of Fourier Analysis and Applications : Volume 6, Issue 2, March 2000
Editorial statement
An algebraic approach to discrete dilations. Application to discrete wavelet transforms
Singular integrals in the Cesàro sense
Orthogonality criteria for compactly supported refinable functions and refinable function vectors
Riesz bounds of Wilson bases generated byB-splines
Inversion of exponentialk-plane transforms
Designing local orthogonal bases on finite groups II: Nonabelian case
Journal of Fourier Analysis and Applications : Volume 6, Issue 1, January 2000
Journal of Fourier Analysis and Applications : Volume 5
Journal of Fourier Analysis and Applications : Volume 4
Journal of Fourier Analysis and Applications : Volume 3

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Singular integrals in the Cesàro sense

Content Provider SpringerLink
Author Bernardis, A. L. Martín Reyes, F. J.
Copyright Year 2000
Abstract The existence of the singular integral ∫K(x, y)f(y)dy associated to a Calderón-Zygmund kernel where the integral is understood in the principal value sense TF(x)=limε→0+∫|x−y|>εK(x, y)f(y)dy has been well studied. In this paper we study the existence of the above integral in the Cesàro-α sense. More precisely, we study the existence of $$\mathop {\lim }\limits_{\varepsilon \to 0^ + } \int_{\left| {x - y} \right| > \varepsilon } {f(y)} K(x,y)\left( {1 - \frac{\varepsilon }{{\left| {x - y} \right|}}} \right)^\alpha dy a.e.$$ for −1<α<0 in the setting of weighted spaces.
Starting Page 143
Ending Page 152
Page Count 10
File Format PDF
ISSN 10695869
Journal Journal of Fourier Analysis and Applications
Volume Number 6
Issue Number 2
e-ISSN 15315851
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2000-01-01
Publisher Place Boston
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword singular integrals Cesàro-α convergence maximal operators weights Abstract Harmonic Analysis Approximations and Expansions Fourier Analysis Partial Differential Equations Applications of Mathematics Signal, Image and Speech Processing
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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