2026-04-14T02:43:44Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/967422025-12-05T09:54:30Zcom_2072_1057col_2072_478917col_2072_478920

Schatten class of integration operators on Dirichlet spaces Pau, Jordi Peláez Márquez, José Ángel Funcions de variables complexes Funcions analítiques Teoria d'operadors Operadors lineals Functions of complex variables Analytic functions Operator theory Linear operators We address the question of describing the membership to Schatten-Von Neumann ideals $S_p$ of integration operators $(T_{g} f)(z)= \int_0^z f(\zeta)g'(\zeta)d \zeta$ acting on Dirichlet type spaces. We also study this problem for multiplication, Hankel and Toeplitz operators. In particular, we provide an extension of Luecking's result on Toeplitz operators [10, p. 347]. 2016-03-30T08:01:42Z 2016-03-30T08:01:42Z 2013-08-29 2016-03-30T08:01:47Z info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 0021-7670 https://hdl.handle.net/2445/96742 622269 eng Versió postprint del document publicat a: http://dx.doi.org/10.1007/s11854-013-0020-3 Journal d'Analyse Mathematique, 2013, vol. 120, num. 1, p. 255-289 http://dx.doi.org/10.1007/s11854-013-0020-3 (c) Springer, 2013 info:eu-repo/semantics/openAccess 35 p. application/pdf Springer Articles publicats en revistes (Matemàtiques i Informàtica)