# Estimates of the $$\varvec{L^p}$$ L p Norms of the Bergman Projection on Strongly Pseudoconvex Domains

Estimates of the $$\varvec{L^p}$$ L p Norms of the Bergman Projection on Strongly... We give estimates of the $$L^p$$ L p norm of the Bergman projection on a strongly pseudoconvex domain in $$\mathbb {C}^n$$ C n . We show that this norm is comparable to $$\frac{p^2}{p - 1}$$ p 2 p - 1 for $$1<p< \infty$$ 1 < p < ∞ . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Integral Equations and Operator Theory Springer Journals

# Estimates of the $$\varvec{L^p}$$ L p Norms of the Bergman Projection on Strongly Pseudoconvex Domains

, Volume 88 (3) – Mar 30, 2017
8 pages

/lp/springer_journal/estimates-of-the-varvec-l-p-l-p-norms-of-the-bergman-projection-on-svifBiJpXr
Publisher
Springer International Publishing
Subject
Mathematics; Analysis
ISSN
0378-620X
eISSN
1420-8989
D.O.I.
10.1007/s00020-017-2360-3
Publisher site
See Article on Publisher Site

### Abstract

We give estimates of the $$L^p$$ L p norm of the Bergman projection on a strongly pseudoconvex domain in $$\mathbb {C}^n$$ C n . We show that this norm is comparable to $$\frac{p^2}{p - 1}$$ p 2 p - 1 for $$1<p< \infty$$ 1 < p < ∞ .

### Journal

Integral Equations and Operator TheorySpringer Journals

Published: Mar 30, 2017

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