In this paper, we investigate singular integral operators induced by the Bergman kernel and Szegö on irreducible bounded symmetric domain in its standard Harish-Chandra realization. We completely characterize when Bergman-type Szegö-type belong to Schatten class operator ideals several analytic numerical invariants of domain. These results not only generalize a recent result Hilbert unit ball d...

In the literature adaptive Fourier decomposition is abbreviated as AFD that addresses adaptive rational approximation, or alternatively adaptive Takenaka-Malmquist system approximation. The AFD type approximations may be characterized as adaptive approximations by linear combinations of parameterized Szegö and higher order Szegö kernels. This note proposes two kinds of such analytic approximati...

We provide estimates and asymptotic expansions of condenser p-capacities and focus on the anisotropic case of segments. After preliminary results, we study p-capacities of points with respect to asymptotic approximations, positivity cases and convergence speed of descending continuity. We introduce equidistant condensers to point out that the anisotropy caused by a segment in the p-Laplace equa...

The operator-valued Schur-class is defined to be the set of holomorphic functions S mapping the unit disk into the space of contraction operators between two Hilbert spaces. There are a number of alternate characterizations: the operator of multiplication by S defines a contraction operator between two Hardy Hilbert spaces, S satisfies a von Neumann inequality, a certain operator-valued kernel ...

‎universally prestarlike functions of order $alphaleq 1$ in the‎ ‎slit domain $lambda=mathbb{c}setminus [1,infty)$ have been‎ ‎recently introduced by s‎. ‎ruscheweyh.this notion generalizes the‎ ‎corresponding one for functions in the unit disk $delta$ (and‎ ‎other circular domains in $mathbb{c}$)‎. ‎in this paper‎, ‎we obtain‎ ‎the fekete-szegö coefficient functional for transforms of such‎ ‎f...