For a partition k=(k_1,\dots, k_m) k=(k 1,⋯, km) of n consider the group U (k)= U (k_1) *\dots *
U (k_m) U (k)= U (k 1)×⋯× U (km) block diagonally embedded in U (n) U (n) and the center …

We define the so-called k-horizontal and k-cohorizontal symbols and study the C∗-algebras
generated by Toeplitz operators with these symbols. We show that the C∗-algebra …

If φ is a bounded separately radial function on the unit ball, the Toeplitz operator T φ is
diagonalizable with respect to the standard orthogonal basis of monomials on the Bergman …

We study the biholomorphic action of the Heisenberg group H n on the Siegel domain D n+
1 (n≥ 1). Such H n-action allows us to obtain decompositions of both D n+ 1 and the …

For the usual action of the Heisenberg group $\mathbb {H} _n $ on the Siegel domain $ D_
{n+ 1} $($ n\geq 1$) denote by $\mathcal {T}^{(\lambda)}(L^\infty (D_ {n+ 1})^{\mathbb {H} …

Let us consider, for n≥ 3, the Cartan domain D n IV of type IV. On the weighted Bergman
spaces A λ 2 (D n IV) we study the problem of the existence of commutative C∗-algebras …

On a theorem of Bishop and commutants of Toeplitz operators in $$\mathbb {C}^n$$ |
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Let D n× n I be the Cartan domain of type I which consists of the complex n× n matrices Z
that satisfy Z∗ Z< I n. For a symbol a∈ L∞(D n× n I) we consider three radial-like type …

Abstract The separately radial Fock-Carleson type measures for derivatives of order k are
introduced and characterized on the Fock space. Also, we study the separately radial …

In this paper, we study the Banach algebra T (𝕋 mq) T (T _m^ q) which is generated by
Toeplitz operators whose symbols are invariant under the action of the 𝕋 mq T _m^ q …