RT Journal Article
T1 On the connected component of compact composition operators on the Hardy space
A1 Gallardo Gutiérrez, Eva Antonia
A1 González, María J.
A1 Nieminen, Pekka J.
A1 Saksman, Eero
AB We show that there exist non-compact composition operators in the connected component of the compact ones on the classical Hardy space H-2. This answers a question posed by Shapiro and Sundberg in 1990. We also establish an improved version of a theorem of MacCluer, giving a lower bound for the essential norm of a difference of composition operators in terms of the angular derivatives of their symbols. As a main tool we use Aleksandrov-Clark measures.
PB Elsvier
SN 0001-8708
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/50595
UL https://hdl.handle.net/20.500.14352/50595
LA eng
NO Gallardo Gutiérrez, E. A., et al. «On the Connected Component of Compact Composition Operators on the Hardy Space». Advances in Mathematics, vol. 219, n.o 3, octubre de 2008, pp. 986-1001. DOI.org (Crossref), https://doi.org/10.1016/j.aim.2008.06.005.
NO Plan Nacional I+D
NO Gobierno de Aragon research group Analisis Matematico y Aplicaciones
NO Finnish Graduate School in Mathematical Analysis
NO Academy of Finland
DS Docta Complutense
RD 15 abr 2025