Hankel operators between different doubling Fock spaces

Toeplitz Operators on Fock Spaces

Weighted Bmo and Hankel Operators between Bergman Spaces

We introduce a family of weighted BMO spaces in the Bergman metric on the unit ball of C and use them to characterize complex functions f such that the big Hankel operators Hf and Hf̄ are both bounded or compact from a weighted Bergman space into a weighted Lesbegue space with possibly different exponents and different weights. As a consequence, when the symbol function f is holomorphic, we char...

Hankel Operators on Weighted Bergman Spaces and Norm Ideals

Consider Hankel operators Hf on the weighted Bergman space L 2 a(B, dvα). In this paper we characterize the membership of (H∗ fHf ) s/2 = |Hf | in the norm ideal CΦ, where 0 < s ≤ 1 and the symmetric gauge function Φ is allowed to be arbitrary.

Hankel Operators and Weak Factorization for Hardy-orlicz Spaces

We study the holomorphic Hardy-Orlicz spaces H(Ω), where Ω is the unit ball or, more generally, a convex domain of finite type or a strictly pseudoconvex domain in C. The function Φ is in particular such that H(Ω) ⊂ H(Ω) ⊂ H(Ω) for some p > 0. We develop for them maximal characterizations, atomic and molecular decompositions. We then prove weak factorization theorems involving the space BMOA(Ω)...

Little Hankel Operators between Bergman Spaces of the Right Half Plane

In this paper we consider a class of weighted integral operators on L2(0,∞) and show that they are unitarily equivalent to little Hankel operators between weighted Bergman spaces of the right half plane. We use two parameters α, β ∈ (−1,∞) and involve two weights to define Bergman spaces of the domain and range of the little Hankel operators. We obtained conditions for the Hankel integral opera...