Hankel measures on Hardy space

Compact Hankel Operators on the Hardy Space of the Polydisk

We show that a big Hankel operator on the standard Hardy space of the polydisk D, n > 1, cannot be compact unless it is the zero operator. We also show that this result can be generalized to certain Hankel operators defined on Hardy-Sobolev spaces of the polydisk.

Toeplitz Operators and Hankel Operators on the Hardy Space of the Unit Sphere

The object of this present paper is to study Toeplitz operators and Hankel operators on the Hardy space of the unit sphere S in C through the generalized area integral of harmonic functions on the unit ball B in C. In particular we consider the question of when the product of two Toeplitz operators is a compact perturbation of a Toeplitz operator. It follows from a theorem in [DJ] that T,T can ...

Hankel Operators on Hilbert Space

commonly known as Hilbert's matrix, determines a bounded linear operator on the Hilbert space of square summable complex sequences. Infinite matrices which possess a similar form to H, namely those that are 'one way infinite' and have identical entries in cross diagonals, are called Hankel matrices, and when these matrices determine bounded operators we have Hankel operators, the subject of thi...

Intermediate Hankel Operators on the Bergman Space

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)...