
Sharp norm-inequalities, valid for functional Hilbert spaces of holomorphic functions on the polydisk, unit ball and C n {{\mathbf {C}}^n} are established by using the notion of reproducing kernels. These inequalities extend earlier results of Saitoh and ours.
Holomorphic mappings and correspondences, Integral representations; canonical kernels (Szegő, Bergman, etc.), Hilbert spaces of continuous, differentiable or analytic functions, Dirichlet spaces, Algebras of holomorphic functions of several complex variables, norm inequalities for Hilbert spaces of holomorphic functions
Holomorphic mappings and correspondences, Integral representations; canonical kernels (Szegő, Bergman, etc.), Hilbert spaces of continuous, differentiable or analytic functions, Dirichlet spaces, Algebras of holomorphic functions of several complex variables, norm inequalities for Hilbert spaces of holomorphic functions
| citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 17 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
