Parabolic Littlewood–Paley operators
✍ Scribed by Qingying Xue; Yong Ding; Kôzô Yabuta
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 211 KB
- Volume
- 282
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
In this paper, weak (1,1) and L^p^ estimates for the parabolic Littlewood–Paley operators on some homogeneous spaces are established, which are extensions of known results. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
📜 SIMILAR VOLUMES
## 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
## Abstract In this paper, we give the boundedness of the parametrized Littlewood–Paley function $ \mu ^{\*,\rho}\_{\lambda} $ on the Hardy spaces and weak Hardy spaces. As the corollaries of the above results, we prove that $ \mu ^{\*,\rho}\_{\lambda} $ is of weak type (1, 1) and of type (__p__, _
## Abstract This paper is devoted to the study on the __L^p^__ ‐mapping properties for certain singular integral operators with rough kernels and related Littlewood–Paley functions along “polynomial curves” on product spaces ℝ^__m__^ × ℝ^__n__^ (__m__ ≥ 2, __n__ ≥ 2). By means of the method of bl
## Abstract Let {__I__~__k__~}~__k__∈ℕ~ be a sequence of well–distributed mutually disjoint intervals of ℝ\{0}. For __f__ ∈ __L__^__p__^(ℝ), 1 ≤ __p__ ≤ 2, define __S____f__ by (__S____f__)ˆ = χ$\hat f $. We prove that there exists a positive constant __C__ such that for all __f__ ∈ __L__^__p__^(ℝ