NONLINEAR m-SINGULAR INTEGRAL OPERATORS IN THE FRAMEWORK OF FATOU TYPE WEIGHTED CONVERGENCE
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, we prove some theorems concerning Fatou type weighted pointwise convergence of nonlinear m singular integral operators of the form: T-lambda([m]) (f; x) = integral K-lambda (tau Sigma(m)(k=1) (-1)(k-1) ((m)(k)) integral(x + kt)) dt, where x is an element of R, m >= 1 is a finite natural number and lambda is an element of Lambda which is a non empty set of non-negative indices, at a common m - p - mu-Lebesgue point of f is an element of L-p,L-phi (R) (1 <= p R+ is a weight function endowed with some specific properties and L-p,L-phi(R) is the space of all measurable functions for which vertical bar f/phi vertical bar(p) is integrable on R.
Açıklama
Anahtar Kelimeler
Fatou type convergence, nonlinear m-singular integral, Lipschitz condition, nonlinear analysis
Kaynak
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
67
Sayı
1
