ON SINGULAR INTEGRAL OPERATORS INVOLVING POWER NONLINEARITY
Küçük Resim Yok
Tarih
2017
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Kangwon-Kyungki Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the current manuscript, we investigate the pointwise convergence of the singular integral operators involving power non linearity given in the following form: T-lambda(f;x) = integral(b)(a) Sigma(n)(m=1) f(m)(t)K-lambda,K-m(x,t)dt, lambda epsilon Lambda, x epsilon (a, b), where A is an index set consisting of the non-negative real numbers, and n >= 1 is a finite natural number, at mu-generalized Lebesgue points of integrable function f epsilon L-1 (a, b). Here, f(m) denotes m - th power of the function f and (a, b) stands for arbitrary bounded interval in or I itself. We also handled the indicated problem under the assumption f epsilon L-1 (N)
Açıklama
Anahtar Kelimeler
Pointwise convergence, Nonlinear integral operators, mu-generalized Lebesgue point
Kaynak
Korean Journal of Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
25
Sayı
4
