Besov-Type Spaces on Rdand Integrability for the Dunkl Transform
نویسندگان
چکیده
منابع مشابه
Besov-Type Spaces on R and Integrability for the Dunkl Transform
In this paper, we show the inclusion and the density of the Schwartz space in Besov–Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution. Finally, we establish further results concerning integrability of the Dunkl transform of function in a suitable Besov–Dunkl space.
متن کاملCharacterization of Besov Spaces for the Dunkl Operator on the Real Line
In this paper, we define subspaces of L by differences using the Dunkl translation operators that we call Besov-Dunkl spaces. We provide characterization of these spaces by the Dunkl convolution.
متن کاملInterpolating Sequences on Analytic Besov Type Spaces
We characterize the interpolating sequences for the weighted analytic Besov spaces Bp(s), defined by the norm ‖f‖ Bp(s) = |f(0)|p + Z D |(1− |z|2)f ′(z)|p(1− |z|2)s dA(z) (1− |z|2)2 , 1 < p < ∞ and 0 < s < 1, and for the corresponding multiplier spaces M(Bp(s)).
متن کاملBesov–dunkl Spaces Connected with Generalized Taylor Formula on the Real Line
In the present paper, we define for the Dunkl tranlation operators on the real line, the Besov–Dunkl space of functions for which the remainder in the generalized Taylor’s formula has a given order. We provide characterization of these spaces by the Dunkl convolution.
متن کاملGeneralization of Titchmarsh's Theorem for the Dunkl Transform
Using a generalized spherical mean operator, we obtain a generalization of Titchmarsh's theorem for the Dunkl transform for functions satisfying the ('; p)-Dunkl Lipschitz condition in the space Lp(Rd;wl(x)dx), 1 < p 6 2, where wl is a weight function invariant under the action of an associated re ection group.
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ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2009
ISSN: 1815-0659
DOI: 10.3842/sigma.2009.019