264 citations · 270 across the 13 of their papers we have counts for
7 papers · 1 filter
Weighted Bergman kernels for nearly holomorphic functions on bounded symmetric domains
Miroslav Engliš, El-Hassan Youssfi, Genkai Zhang
We~identify the standard weighted Bergman kernels of spaces of nearly holomorphic functions, in~the sense of Shimura, on~bounded symmetric domains. This also yields a description o…
M-harmonic reproducing kernels on the ball
Miroslav Englis, El-Hassan Youssfi
Using the machinery of unitary spherical harmonics due to Koornwinder, Folland and other authors, we~obtain expansions for the Szegö and the weighted Bergman kernels of -harmoni…
Radial balanced metrics on the unit ball of the Kepler manifold
Helene Bommier-Hato, Miroslav Englis, El-Hassan Youssfi
We show that there is no radial balanced metric on the unit ball of the Kepler manifold with not too wild boundary behavior. Additionally, we identify explicitly the weights corres…
Hankel operators and the Dixmier trace on the Hardy space
Miroslav Engliš, Genkai Zhang
We give criteria for the membership of Hankel operators on the Hardy space on the disc in the Dixmier class, and establish estimates for their Dixmier trace. In contrast to the sit…
Bergman-type projections in generalized Fock spaces
Helene Bommier-Hato, Miroslav Englis, El-Hassan Youssfi
We give criteria for boundedness of the associated Bergman-type projections on Lp-spaces on Cn with respect to generalized Gaussian weights exp(-|z|^2m). Complete characterization…
Ramadanov conjecture and line bundles over compact Hermitian symmetric spaces
M. Englis, G. K. Zhang
We compute the Szegö kernels of the unit circle bundles of homogeneous negative line bundles over a compact Hermitian symmetric space. We prove that their logarithmic terms vanish…