Work

Carleson-type embeddings with closed range

Year: 2025

Type: article

Abstract: We characterize the Carleson measures $$\mu $$ μ on the unit disk for which the image of the Hardy space $$H^p$$ H p under the corresponding embedding operator is closed in $$L^p(\mu )$$ L p ( μ ) . In fact, a more general result involving ( p , q )-Carleson measures is obtained. A similar problem is solved in the setting of Bergman spaces.

Source: Mathematische Zeitschrift

DOI: 10.1007/s00209-025-03881-w

Author: Konstantin M. Dyakonov

Institutions: Institució Catalana de Recerca i Estudis Avançats, Barcelona Graduate School of Mathematics, Universitat de Barcelona

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Ministerio de Ciencia, Innovación y Universidades, Universitat de Barcelona