scholarly journals Optimal norm estimate of operators related to the harmonic Bergman projection on the ball

2010 ◽  
Vol 62 (3) ◽  
pp. 357-374 ◽  
Author(s):  
Boo Rim Choe ◽  
Hyungwoon Koo ◽  
Kyesook Nam
Keyword(s):  
Bergman Projection ◽  
Norm Estimate ◽  
Optimal Norm

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

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.

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