Unbounded Bergman Projections on Weighted Spaces with Respect to Exponential Weights

2021 ◽  
Vol 93 (6) ◽  
Author(s):  
José Bonet ◽  
Wolfgang Lusky ◽  
Jari Taskinen
Keyword(s):  
Weighted Spaces ◽  
Exponential Weights ◽  
Bergman Projections

scholarly journals UNBOUNDEDNESS OF THE BERGMAN PROJECTIONS ON $L^{p}$ SPACES WITH EXPONENTIAL WEIGHTS

2004 ◽  
Vol 47 (1) ◽  
pp. 111-117 ◽  
Author(s):  
Milutin R. Dostanić
Keyword(s):  
Bergman Projection ◽  
Subject Classification ◽  
Primary 47B10 ◽  
Exponential Weights ◽  
Bergman Projections

AbstractWe prove that the Bergman projection on $L^p(w)$ $(p\neq 2)$, where $w(r)=(1-r^2)^A\textrm{e}^{-B/(1-r^2)^{\alpha}}$, is not bounded.AMS 2000 Mathematics subject classification: Primary 47B10

Degree of best one-sided approximation by smooth multi-Dimensional spline in weighted spaces

2014 ◽  
Vol 1 (3) ◽  
pp. 87-95
Author(s):  
Jawad Judy ◽  
◽  
Saheb AL-Saidy
Keyword(s):  
Weighted Spaces

scholarly journals Semi-Exponential Operators

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 637
Author(s):  
Monika Herzog
Keyword(s):  
Exponential Type ◽  
Probabilistic Approach ◽  
Weighted Spaces ◽  
Approximation Properties

In this paper we study approximation properties of exponential-type operators for functions from exponential weighted spaces. We focus on some modifications of these operators and we derive a new example of such operators. A probabilistic approach for these modifications is also demonstrated.

scholarly journals Dunkl generalization of Phillips operators and approximation in weighted spaces

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
M. Mursaleen ◽  
Md. Nasiruzzaman ◽  
A. Kılıçman ◽  
S. H. Sapar
Keyword(s):  
Weighted Spaces ◽  
Phillips Operators

scholarly journals Non-existence of bi-infinite geodesics in the exponential corner growth model

2020 ◽  
Vol 8 ◽  
Author(s):  
Márton Balázs ◽  
Ofer Busani ◽  
Timo Seppäläinen
Keyword(s):  
Growth Model ◽  
Coarse Graining ◽  
Exponential Weights ◽  
Percolation Process ◽  
Last Passage Percolation ◽  
Corner Growth Model ◽  
And Control

Abstract This paper gives a self-contained proof of the non-existence of nontrivial bi-infinite geodesics in directed planar last-passage percolation with exponential weights. The techniques used are couplings, coarse graining, and control of geodesics through planarity and estimates derived from increment-stationary versions of the last-passage percolation process.

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