Hankel Operators with Weighted Lipschitz Symbols in the Unit Ball

Weighted Composition Operators and Integral-Type Operators between Weighted Hardy Spaces on the Unit Ball

Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball

Let BN be the unit ball in the N-dimensional complex space, for ψ, a holomorphic function in BN , and φ, a holomorphic map from BN into itself, the weighted composition operator on the weighted Hardy space H(β,BN ) is given by (Cψ,φ) f = ψ(z) f (φ(z)), where f ∈H2(β,BN ). This paper discusses the spectrum of Cψ,φ when it is compact on a certain class of weighted Hardy spaces and when the compos...

Weighted Composition Operators on Some Weighted Spaces in the Unit Ball

Weighted Lipschitz Continuity and Harmonic Bloch and Besov Spaces in the Real Unit Ball

The characterization by weighted Lipschitz continuity is given for the Bloch space on the unit ball of Rn. Similar results are obtained for little Bloch and Besov spaces.

Toeplitz and Hankel Operators and Dixmier Traces on the unit ball of C

We compute the Dixmier trace of pseudo-Toeplitz operators on the Fock space. As an application we find a formula for the Dixmier trace of the product of commutators of Toeplitz operators on the Hardy and weighted Bergman spaces on the unit ball of C. This generalizes an earlier work of Helton-Howe for the usual trace of the anti-symmetrization of Toeplitz operators.