Semi-norms of the Bergman projection
Marijan Markovic
TL;DR
This paper investigates the semi-norms of the Bergman projection operator in complex analysis, providing improvements on existing results related to its behavior in the unit ball.
Contribution
It offers new bounds and insights into the semi-norms of the Bergman projection, enhancing understanding of its properties in complex spaces.
Findings
Improved bounds on semi-norms of the Bergman projection
Enhanced understanding of the operator's behavior in the unit ball
Refined estimates compared to previous results
Abstract
It is known that the Bergman projection operator maps the space of essentially bounded functions in the unit ball in the d-dimensional complex vector space onto the Bloch space of the unit ball. This paper deals with the various semi-norms of the Bergman projection. We improve some recent results.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Meromorphic and Entire Functions