Nuclearity of the operators of embedding of certain classes of analytic functions in weighted spaces

DOI10.1007/BF01158516zbMath0677.46023OpenAlexW1999230137MaRDI QIDQ1123356

O. G. Parfenov

Publication date: 1988

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01158516

zbMATH Keywords

nuclearityimbedding operatorHilbert space of analytic functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Cites Work

• Multipliers of the Dirichlet space
• Vectorial Hankel operators, commutators and related operators of the Schatten - von Neumann class \(S_ p\).
• Differentiation of integrals in \(\mathbb{R}^n\)
• Free interpolation in \(H\infty\) and in some other function classes
• Theory of Reproducing Kernels

This page was built for publication: Nuclearity of the operators of embedding of certain classes of analytic functions in weighted spaces