## 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
Commutators for Approximation Spaces and Marcinkiewicz-Type Multipliers
✍ Scribed by Joan Cerdà; Joaquim Martı́n; Natan Ya. Krugljak
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 141 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We characterize Carleson measures on the Dirichlet spaces. Our result leads to necessary and sufficient conditions for multipliers of the Dirichlet spaces.
An equivalence of a discrete norm and a continuous norm of a trigonometric polynomial is proved for the cme of irregular knots in L, -spaces, where 0 < p 5 +m. ## 1. Introduction Theorems on equivalent norms of trigonometric polynomials in certain metrics have many applications in the modern theor
## Abstract We define and investigate the multipliers of Laplace transform type associated to the differential operator __L~λ~f__ (__θ__) = –__f__ ″(__θ__) – 2__λ__ cot __θf__ ′(__θ__) + __λ__^2^__f__ (__θ__), __λ__ > 0. We prove that these operators are bounded in __L^p^__ ((0, __π__), __dm~λ~__)