On singular integrals depending on three parameters

Yilmaz M., Serenbay S., Ibikli E.

Applied Mathematics and Computation, vol.218, no.3, pp.1132-1135, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Abstract
  • Volume: 218 Issue: 3
  • Publication Date: 2011
  • Doi Number: 10.1016/j.amc.2011.03.067
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1132-1135
  • Keywords: Double singular integral, Generalized Lebesgue point, Radial kernel
  • Ankara University Affiliated: Yes

Abstract

In this paper we will prove the pointwise convergence of L(f; x, y, λ) to f(x0, y0), as (x, y, λ) tends to (x0, y0, λ0) in the space L 2π, by the three parameter family of singular operators. In contrast to previous works, the kernel function is radial. © 2011 Elsevier Inc. All rights reserved.