Generalized Besov type spaces on the Laguerre hypergroup

Multiresolution Analysis and Haar Wavelets on the Laguerre Hypergroup

In the past decade research on the multiresolution analysis has made considerable progress due to its wide applications. For the basic theory of multiresolution we refer readers to the work in 1, 2 . Recently, we find that a lot of authors try to extend the theory of wavelets on the Euclidean space to nilpotent Lie groups see 3–6 . In this paper we will give the definition of acceptable dilatio...

Interpolating 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)).

Extended Cesáro Operators between Generalized Besov Spaces and Bloch Type Spaces in the Unit Ball

Let g be a holomorphic map of B, where B is the unit ball of C. Let 0 < p < +∞,−n − 1 < q < +∞, q > −1 and α > 0. This paper gives some necessary and sufficient conditions for the Extended Cesáro Operators induced by g to be bounded or compact between generalized Besov space B(p, q) and αBloch space B.

Littlewood-Paley g-Functions and Multipliers for the Laguerre Hypergroup

The Generalized Incompressible Navier-Stokes Equations in Besov Spaces

This paper is concerned with global solutions of the generalized Navier-Stokes equations. The generalized Navier-Stokes equations here refer to the equations obtained by replacing the Laplacian in the Navier-Stokes equations by the more general operator (−∆) with α > 0. It has previously been shown that any classical solution of the d-dimensional generalized NavierStokes equations with α ≥ 1 2 ...