An extension of a boundedness result for singular integral operators
Yükleniyor...
Dosyalar
Tarih
2016-03-30
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Polska Akademia Nauk
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We study some operators originating from classical Littlewood–Paley the- ory. We consider their modification with respect to our discontinuous setup, where the un- derlying process is the product of a one-dimensional Brownian motion and a d-dimensional symmetric stable process. Two operators in focus are the G? and area functionals. Using the results obtained in our previous paper, we show that these operators are bounded on Lp. Moreover, we generalize a classical multiplier theorem by weakening its conditions on the tail of the kernel of singular integrals.
Açıklama
Anahtar Kelimeler
Multiplier, Symmetric stable process, Singular integrals, Probabilistic Littlewood–Paley functions, Area functional, G∗ functional, Inequality
Kaynak
Colloquium Mathematicum
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
145
Sayı
1
Künye
Karlı, D. (2016). An extension of a boundedness result for singular integral operators. Colloquium Mathematicum, 145(1), 15-33. doi:10.4064/cm6722-1-2016
