## 22 Citations

Function and Operator Theory on Large Bergman spaces

- Mathematics
- 2016

[eng] The theory of Bergman spaces has been a central subject of study in complex analysis during the past decades. The book [7] by S. Bergman contains the first systematic treat-ment of the Hilbert…

Solid hulls and cores of weighted $$H^\infty $$H∞-spaces

- Mathematics
- 2017

We determine the solid hull and solid core of weighted Banach spaces $$H_v^\infty $$Hv∞ of analytic functions functions f such that v|f| is bounded, both in the case of the holomorphic functions on…

SOLID HULLS AND CORES OF WEIGHTED H∞-SPACES

- 2017

We determine the solid hull and solid core of weighted Banach spaces H∞ v of analytic functions functions f such that v|f | is bounded, both in the case of the holomorphic functions on the disc and…

Weighted composition operators between large Fock spaces in several complex variables

- MathematicsJournal of Functional Analysis
- 2019

Embedding theorems and integration operators on Bergman spaces with rapidly decreasing weights

- Mathematics
- 2010

Some Closed Range Integral Operators on Spaces of Analytic Functions

- Mathematics
- 2011

Our main result is a characterization of g for which the operator $${S_g(f)(z) = \int_0^z f'(w)g(w)\, dw}$$ is bounded below on the Bloch space. We point out analogous results for the Hardy space H2…

Solid hulls of weighted Banach spaces of analytic functions on the unit disc with exponential weights

- Mathematics
- 2017

The research of Bonet was partially supported by the projects MTM2013-43540-P and MTM2016-76647-P. This paper was completed during the Bonet's stay at the Katholische Universitat Eichstatt-Ingolstadt…

Bergman spaces with exponential type weights

- Journal of Inequalities and Applications
- 2021

For 1 ≤ p < ∞ $1\le p<\infty $ , let A ω p $A^{p}_{\omega }$ be the weighted Bergman space associated with an exponential type weight ω satisfying ∫ D | K z ( ξ ) | ω ( ξ ) 1 / 2 d A ( ξ ) ≤ C ω ( z…

Mapping Properties of Weighted Bergman Projection Operators on Reinhardt Domains

- Mathematics
- 2015

We show that on smooth complete Reinhardt domains, weighted Bergman projection operators corresponding to exponentially decaying weights are unbounded on $L^p$ spaces for all $p\not=2$. On the other…

Reproducing Kernel Estimates, Bounded Projections and Duality on Large Weighted Bergman Spaces

- Mathematics
- 2013

We obtain certain estimates for the reproducing kernels of large weighted Bergman spaces. Applications of these estimates to boundedness of the Bergman projection on $$L^p({\mathbb {D}},\omega…

## References

SHOWING 1-10 OF 12 REFERENCES

Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation

- Mathematics
- 1977

Theory of Bergman Spaces

- Mathematics
- 2000

Preliminary Text. Do not use. 15 years ago the function theory and operator theory connected with the Hardy spaces was well understood (zeros; factorization; interpolation; invariant subspaces;…

A Tauberian Theorem for Partitions

- Mathematics
- 1941

based on the transformation theory of the elliptic modular functions. Later researches have tended in the direction of a still deeper study of particular problems, culminating in the exact formulae…

Integration operators on Bergman spaces

- Mathematics
- 1997

Let ${\bold D}$ denote the unit disk in the complex plane and let $m$ be the area Lebesgue measure on ${\bold D}$. Given a positive integrable function $w$ (a weight) on ${\bold D}$, let $L^p_{\rm…

THEORY OF BERGMAN SPACES (Graduate Texts in Mathematics 199) By HAAKAN HEDENMALM, BORIS KORENBLUM and KEHE ZHU: 286 pp., £37.50, ISBN 0-387-98791-6 (Springer, New York, 2000).

- Mathematics
- 2002

through sequences of exercises, culminating in some substantial results. One can recommend as a taster the exercises leading to the triviality of K0 of the Cuntz algebra O2 in Chapter 4. Another…

An integral operator on $H\sp p$

- Mathematics
- 1995

Let g be an analytic function on the unit disk D . We study the operator on the Hardy spaces Hp . We show that Tg is bounded on Hp , 1 ≤ p < ∞ it and only if g ∊ BMOA and compact if and only if g ∊…