## 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
Lp estimates for strongly singular integrals on spaces of homogeneous type
✍ Scribed by Leonede deMichele; Ian R Inglis
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 596 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract In this paper, we define an appropriate version of Morrey spaces for spaces of homogeneous type. As our main result, we give a sufficient condition for an operator to be bounded on the version of Morrey spaces (cf. Theorem 3.1 and Corollary 3.5). Moreover, using thin result, we prove Mo
## Abstract Necessary and sufficient conditions for the stability of certain collocation methods applied to Cauchy singular integral equations on an interval are presented for weighted **L**__'__ norms. Moreover, the behavior of the approximation numbers, in particular their so‐called __k__ ‐splitt
## Abstract In this paper, we prove the __L^p^__ (ℝ^__n__^ ) boundedness for higher commutators of singular integrals with rough kernels belonging to certain block spaces provided that 1 < __p__ < ∞ (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
## Abstract Let (𝒳, __d__,__μ__) be a space of homogeneous type in the sense of Coifman and Weiss. Assuming that __μ__ satisfies certain estimates from below and there exists a suitable Calderón reproducing formula in __L__ ^2^(𝒳), the authors establish a Lusin‐area characterization for the atomic