Some convergence results for nonlinear singular integral operators
Yükleniyor...
Dosyalar
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
De Gruyter Open Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we establish some pointwise convergence results for a family of certain nonlinear singular integral operators T lambda f of the form (T lambda f) (x) =integral K-b(a)lambda(t - x, f(t))dt, x is an element of (a, b), acting on functions with bounded (Jordan) variation on an interval [a, b], as lambda -> lambda(o). Here, the kernels K = {K-lambda}(lambda is an element of Lambda) satisfy some suitable singularity assumptions. We remark that the present study is a continuation and extension of the study of pointwise approximation of the family of nonlinear singular integral operators (1) begun in [18].
Açıklama
Anahtar Kelimeler
Nonlinear Singular Integral, Bounded Variation, Lipschitz Condition, Pointwise Convergence, Integral Operators
Kaynak
Demonstratio Mathematica
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
46
Sayı
4
