Weighted approximation by double singular integral operators with radially defined kernels

Küçük Resim Yok

Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer Heidelberg

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this study, we present some results on the weighted pointwise convergence of a family of singular integral operators with radial kernels given in the following form: L-lambda(f; x, y) = integral integral(R2) f(t, s)H-lambda(t - x, s - y)ds dt, (x, y) is an element of R-2, lambda is an element of Lambda, where Lambda is a set of non-negative numbers with accumulation point lambda(0), and the function f is measurable on R-2 in the sense of Lebesgue.

Açıklama

Anahtar Kelimeler

Generalized Lebesgue point, Radial kernel, Pointwise convergence, Rate of convergence

Kaynak

Mathematical Sciences

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

10

Sayı

4

Künye