Rough Marcinkiewicz integrals on product spaces
نویسندگان
چکیده
منابع مشابه
Rough Marcinkiewicz Integrals On Product Spaces
In this paper, we establish an Lp boundedness result of a class of Marcinkiewicz integral operators on product domains with rough kernels.
متن کاملParabolic Marcinkiewicz integrals on product spaces
In this paper, we study the $L^p$ ($1
متن کاملparabolic marcinkiewicz integrals on product spaces
in this paper, we study the $l^p$ ($1
متن کاملRough singular integrals on product spaces
where, p.v. denotes the principal value. It is known that if Φ is of finite type at 0 (see Definition 2.2) and Ω ∈ 1(Sn−1), then TΦ,Ω is bounded on Lp for 1<p <∞ [15]. Moreover, it is known that TΦ,Ω may fail to be bounded on Lp for any p if the finite-type condition is removed. In [8], Fan et al. showed that the Lp boundedness of the operator TΦ,Ω still holds if the condition Ω ∈ 1(Sn−1) is re...
متن کاملMarcinkiewicz integrals along subvarieties on product domains
Stein proved that ifΩ∈ Lipα(Sn−1), (0<α≤ 1), then μΩ is bounded on Lp for all 1<p ≤ 2 [18]. Since then, the study of the Lp boundedness of μΩ under various conditions on the function Ω has attracted the attention of many authors ([1, 4, 5, 7, 10, 13], among others). In particular, Chen et al. in [8] studied the Lp boundedness of μΩ under the following condition on the function Ω which was intro...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Mathematical Forum
سال: 2007
ISSN: 1314-7536
DOI: 10.12988/imf.2007.07097