Turkish Journal of Mathematics
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 $L^{p,q}_\alpha(\Omega).$
DOI
10.55730/1300-0098.3387
Keywords
Bergman projections, mixed norm spaces
First Page
687
Last Page
693
Recommended Citation
SAVKOVIC, I (2023). Boundedness of Bergman projections acting on weighted mixed norm spaces. Turkish Journal of Mathematics 47 (2): 687-693. https://doi.org/10.55730/1300-0098.3387
