Some convergence results for nonlinear singular integral operators
Yükleniyor...
Dosyalar
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
De Gruyter
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 Tλf of the form
(Tλf) (x) =
b
a
Kλ(t − x, f(t)) dt, x ∈ (a, b),
acting on functions with bounded (Jordan) variation on an interval [a, b], as λ → λ0. Here,
the kernels K = {Kλ}λ∈Λ
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
Bounded Variation, Lipschitz Condition, Nonlinear Singular Integral, Pointwise Convergence
Kaynak
Demonstratio Mathematica
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
46
Sayı
4
