Title of article
A note on weak type L1 boundedness of CZOs with rough kernels ✩
Author/Authors
Jiecheng Chen، نويسنده , , Xiangrong Zhu، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
16
From page
438
To page
453
Abstract
For f ∈ S(R2) and Ω ∈ L1(S1), S1 Ω(x )dx = 0, define
TΩ(f )(x) = lim
→0+
|x−y|
Ω(y/|y|)
|y|2 f (x −y)dy.
In this paper, we shall prove that there is a class of functions in H1(S1) −Lln+ L(S1) such that TΩ is weak type L1-bounded.
© 2007 Elsevier Inc. All rights reserved.
Keywords
Calder?n–Zygmund operator , Weak type L1 boundedness , Hardy space
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936632
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