scholarly journals $L^p$ estimates for the Bergman projection on some Reinhardt domains

2018 ◽  
Vol 146 (6) ◽  
pp. 2541-2553 ◽  
Author(s):  
Zhenghui Huo
Keyword(s):  
Bergman Projection ◽  
Reinhardt Domains

Mapping properties of the Bergman projections on elementary Reinhardt domains

2021 ◽  
Vol 71 (4) ◽  
pp. 831-844
Author(s):  
Shuo Zhang
Keyword(s):  
Sobolev Spaces ◽  
Bergman Projection ◽  
Reinhardt Domain ◽  
Reinhardt Domains ◽  
Multi Index ◽  
Bergman Projections

Abstract The elementary Reinhardt domain associated to multi-index k = (k 1, …, k n ) ∈ ℤ n is defined by ℋ ( k ) : = { z ∈ D n : z k   is defined and   | z k | < 1 } . $$\mathcal{H}(\mathbf{k}):=\{z\in\mathbb{D}^n: z^{\mathbf{k}}\ \text{is defined and}\ |z^{\mathbf{k}}|<1\}.$$ In this paper, we study the mapping properties of the associated Bergman projection on L p spaces and L p Sobolev spaces of order ≥ 1.

scholarly journals A note on smoothing properties of the Bergman projection

2016 ◽  
Vol 27 (11) ◽  
pp. 1650087 ◽  
Author(s):  
Sivaguru Ravisankar ◽  
Yunus E. Zeytuncu
Keyword(s):  
Holomorphic Functions ◽  
Bergman Projection ◽  
Bounded Domains ◽  
Satisfy Condition ◽  
Reinhardt Domains ◽  
Smoothing Property

Recently Herbig, McNeal, and Straube have showed that the Bergman projection of conjugate holomorphic functions is smooth up to the boundary on smoothly bounded domains that satisfy condition R. We show that a further smoothing property holds on a family of Reinhardt domains; namely, the Bergman projection of conjugate holomorphic functions is holomorphic past the boundary.

Generalized reinhardt domains

1991 ◽  
Vol 1 (1) ◽  
pp. 1-17 ◽  
Author(s):  
Eric Bedford ◽  
Jiri Dadok
Keyword(s):  
Reinhardt Domains

scholarly journals Bergman projection induced by radial weight

2021 ◽  
Vol 391 ◽  
pp. 107950
Author(s):  
José Ángel Peláez ◽  
Jouni Rättyä
Keyword(s):  
Bergman Projection ◽  
Radial Weight

scholarly journals Norm estimation of the harmonic Bergman projection on half-spaces

2009 ◽  
Vol 61 (1) ◽  
pp. 225-235 ◽  
Author(s):  
Hyungwoon KOO ◽  
Kyesook NAM ◽  
HeungSu YI
Keyword(s):  
Bergman Projection

scholarly journals The spectrum of the Leray transform for convex Reinhardt domains in C2

2009 ◽  
Vol 257 (9) ◽  
pp. 2780-2819 ◽  
Author(s):  
David E. Barrett ◽  
Loredana Lanzani
Keyword(s):  
Reinhardt Domains
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