AbstractWe determine the eigenvalues of certain “fundamental” K-invariant Toeplitz type operators on weighted Bergman spaces over bounded symmetric domains $$D=G/K,$$
D
=
G
/
K
,
for the irreducible K-types indexed by all partitions of length $$r={\mathrm {rank}}(D)$$
r
=
rank
(
D
)
.
AbstractIn this paper, we present some necessary and sufficient conditions for the hyponormality of Toeplitz operator $T_{\varphi }$
T
φ
on the Bergman space $A^{2}(\mathbb{D})$
A
2
(
D
)
with non-harmonic symbols under certain assumptions.
AbstractIn this paper, we obtain some interesting reproducing kernel estimates and some Carleson properties that play an important role. We characterize the bounded and compact Toeplitz operators on the weighted Bergman spaces with Békollé-Bonami weights in terms of Berezin transforms. Moreover, we estimate the essential norm of them assuming that they are bounded.
Eigenvalues of K-invariant Toeplitz Operators on Bounded Symmetric Domains
