Convergence of Singular Integral Operators in Weighted Lebesgue Spaces

Küçük Resim Yok

Tarih

2017

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

European Journal Pure & Applied Mathematics

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, the pointwise approximation to functions f epsilon L-1,(w) (a, b) by the convolution type singular integral operators given in the following form: L-lambda(f; x) = integral(b)(a) f(t) K(lambda()t-x)dt, x epsilon(a,b), lambda epsilon A subset of R-0(+) where (a,b) stands for arbitrary closed, semi closed or open bounded interval in R or R itself L-1,(w)(a,b) denotes the space of all measurable but non-integrable functions f for which vertical bar f/w vertical bar integrable on (a,b) and w : R R+ is a corresponding weight function, at mu-generalized Lebesgue point and the rate of convergenceat this point are studied.

Açıklama

Anahtar Kelimeler

Generalized Lebesgue point, Weighted pointwise convergence, Rate of convergence

Kaynak

European Journal of Pure and Applied Mathematics

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

10

Sayı

2

Künye