Berezin Transform in Clifford Analysis

Journal Article · Mon Sep 01 00:00:00 EDT 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2991011· OSTI ID:21251347

Guangbin, Ren ^[1]; Liang, Liu ^[2]

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1. Partially supported by the NNSF of China (No. 10471134) and NCET-05-0539 (China)
2. University of Science and Technology of China, Department of Mathematics, Hefei, Anhui 230026 (China)

In the weighted monogenic Bergman spaces A{sup 2}(B{sub n},Ll{sub 0,n},dV{sub {alpha}}), the Berezin transform of a bounded continuous function f tends to itself pointwise as the parameter {alpha} tends to infinity. As a consequence, the norm of the Toeplitz operator parallel T{sub f}{sup ({alpha})} parallel tends to parallel f parallel {sub {infinity}} as {alpha} tends to infinity.

• OSTI ID: 21251347
• Journal Information: AIP Conference Proceedings, Vol. 1048, Issue 1; Conference: International conference on numerical analysis and applied mathematics 2008, Psalidi, Kos (Greece), 16-20 Sep 2008; Other Information: DOI: 10.1063/1.2991011; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
DIRAC EQUATION
FUNCTIONAL ANALYSIS
MATHEMATICAL OPERATORS
SPACE