Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3387
Abstract
We prove that Bergman projections on weighted mixed norm spaces on smoothly bounded domains in $\mathbb{R}^n$ are bounded for a certain range of parameters of such spaces and assuming certain conditions on weights. The proof relies on estimates of integral means of $M_p(P_\gamma f, r)$ in terms of integral means of $f$. This result complements earlier result on boundedness of $P_\gamma$ on a closely related space $L^{p,q}_\alpha(\Omega).$
Keywords
Bergman projections, mixed norm spaces
First Page
687
Last Page
693
Recommended Citation
SAVKOVIC, IVANA
(2023)
"Boundedness of Bergman projections acting on weighted mixed norm spaces,"
Turkish Journal of Mathematics: Vol. 47:
No.
2, Article 19.
https://doi.org/10.55730/1300-0098.3387
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss2/19
