Bergman projection induced by radial weight.

@article{Pelaez2019BergmanPI,
  title={Bergman projection induced by radial weight.},
  author={Jos'e 'Angel Pel'aez and Jouni Rattya},
  journal={arXiv: Functional Analysis},
  year={2019}
}
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51 Citations
Highly Influential Citations
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Background Citations
16
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51 Citations

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36 References

Two weight inequality for Bergman projection

Weighted Bergman spaces induced by rapidly incresing weights

This monograph is devoted to the study of the weighted Bergman space $A^p_\om$ of the unit disc $\D$ that is induced by a radial continuous weight $\om$ satisfying {equation}\label{absteq} …

Boundedness of the Bergman projection on $L^p$ spaces with exponential weights

On the boundedness of Bergman projection

The main purpose of this survey is to gather results on the boundedness of the Bergman projection. First, we shall go over some equivalent norms on weighted Bergman spaces $A^p_\omega$ which are…

Harmonic conjugates on Bergman spaces induced by doubling weights

A radial weight $$\omega $$ ω belongs to the class $$\widehat{\mathcal {D}}$$ D ^ if there exists $$C=C(\omega )\ge 1$$ C = C ( ω ) ≥ 1 such that $$\int _r^1 \omega (s)\,ds\le C\int…

Small weighted Bergman spaces

This paper is based on the course \lq\lq Weighted Hardy-Bergman spaces\rq\rq\, I delivered in the Summer School \lq\lq Complex and Harmonic Analysis and Related Topics\rq\rq at the Mekrij\"arvi…

Radial Two Weight Inequality for Maximal Bergman Projection Induced by a Regular Weight

It is shown in quantitative terms that the maximal Bergman projection P ω + ( f ) ( z ) = ∫ D f ( ζ ) | B z ω ( ζ ) | ω ( ζ ) d A ( ζ ) , $$ {P}^{+}_{\omega}(f)(z)={\int}_{\mathbb{D}}…

UNBOUNDEDNESS OF THE BERGMAN PROJECTIONS ON $L^{p}$ SPACES WITH EXPONENTIAL WEIGHTS

    M. Dostanic
    Mathematics, Philosophy
    Proceedings of the Edinburgh Mathematical Society
  • 2004
Abstract We prove that the Bergman projection on $L^p(w)$ $(p\neq 2)$, where $w(r)=(1-r^2)^A\textrm{e}^{-B/(1-r^2)^{\alpha}}$, is not bounded. AMS 2000 Mathematics subject classification: Primary…

$L^{p}$-behaviour of the integral means of analytic functions

Various results on LP·behaviour of power series with positive coeffi­ dents are extended to Lipschitz spaces. For example, we have a characterization (decomposition) of these spaces, which enables us…

Generalized Hilbert operators on weighted Bergman spaces