## Abstract In this paper, __L^p^__ bounds for the __m__‐th order commutators of the parabolic Littlewood‐Paley operator are obtained, provided that the kernel Ω belongs to __L__(log^+^__L__)^__m__ + 1/2^(__S__^__n__ − 1^) or \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{emp
✦ LIBER ✦
Lpboundedness for parabolic Littlewood-Paley operators with rough kernels belonging to block spaces
✍ Scribed by Dong Xiang Chen; Shan Zhen Lu
- Book ID
- 106278642
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2010
- Tongue
- English
- Weight
- 221 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
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## Abstract This paper is devoted to the study of the __L^p^__ ‐mapping properties of the higher order commutators __μ__ ^__k__^ ~Ω,__a__~ , __μ__ ^\*,__k__^ ~Ω,__λ__ ,__a__~ and __μ__ ^__k__^ ~Ω,__S__ ,__a__~ , which are formed respectively by a __BMO__ (ℝ^__n__^ ) function __a__ (__x__ ) and a