6 papers
Local dyadic fractional Sobolev spaces: paraproducts, commutators, and the algebra property
Valentia Fragkiadaki, Mishko Mitkovski, Cody B. Stockdale
We characterize the boundedness and compactness of dyadic paraproducts on local dyadic fractional Sobolev spaces, . We apply this result to establish the algebra property for…
A Semi-Classical SzegÅ-type Limit Theorem for Toeplitz Operators
Trevor Camper, Mishko Mitkovski
We obtain Szeg\H o-type limit theorems for Toeplitz operators on the weighted Bergman spaces , and on , presenting separate formulations for com…
A quantum harmonic analysis approach to the Berger-Coburn theorem
Vishwa Dewage, Mishko Mitkovski
We use quantum harmonic analysis for densely defined operators to provide a simplified proof of the Berger-Coburn theorem for boundedness of Toeplitz operators. In addition, we rev…
Quantum Harmonic Analysis on the Unweighted Bergman Space of the Unit Ball
Matthew Dawson, Vishwa Dewage, Mishko Mitkovski +1
We study quantum harmonic analysis (QHA) on the Bergman space over the unit ball in . We formulate a Wiener's Tauberian theorem, and cha…
On the density of Toeplitz operators in the Toeplitz algebra over the Bergman space of the unit ball
Vishwa Dewage, Mishko Mitkovski
We use quantum harmonic analysis and representation theory to provide a new proof of Xia's theorem: "Toeplitz operators are norm dense in the Toeplitz algebra over the Bergman spac…
The Laplacian of an operator and the radial Toeplitz algebra
Vishwa Dewage, Mishko Mitkovski
Using tools from quantum harmonic analysis, we show that the domain of the Laplacian of an operator is dense in the Toeplitz algebra over the Fock space $\mathcal{F}^2(\mathbb{C}^n…