Publication Date:
2014-11-05
Description:
In this paper we prove the pointwise convergence and the rate of pointwise convergence for a family of singular integral operators with radial kernel in two-dimensional setting in the following form: Lλ(f;x,y)=∬Df(s,t)Hλ(s−x,t−y)dsdt, (x,y)∈D, where D=〈a,b〉×〈c,d〉 (〈a,b〉×〈c,d〉 is an arbitrary closed, semi-closed or open region in R2) and λ∈Λ, Λ is a set of non-negative numbers with accumulation point λ0. Also we provide an example to support these theoretical results.MSC: 41A35, 41A25.
Print ISSN:
1687-1839
Electronic ISSN:
1687-1847
Topics:
Mathematics
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