On the Bergman kernel in weighted monogenic Bargmann-Fock spaces (Q2684538)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the Bergman kernel in weighted monogenic Bargmann-Fock spaces |
scientific article; zbMATH DE number 7654571
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Bergman kernel in weighted monogenic Bargmann-Fock spaces |
scientific article; zbMATH DE number 7654571 |
Statements
On the Bergman kernel in weighted monogenic Bargmann-Fock spaces (English)
0 references
16 February 2023
0 references
The paper studies the Bergman kernel \(B_\phi(x, y)\) of generalized Bargmann-Fock spaces in the setting of Clifford algebra. In the process, certain versions of the \(L^2\)-estimate method and weighted subharmonic inequality for Clifford algebra are established. In particular, the existence of \(B_\phi(x, y)\) is obtained and some estimates on and off the diagonal are obtained. As a by-product, the paper also obtains an upper estimate for the weighted harmonic Bergman kernel.
0 references
Bergman kernel
0 references
Clifford algebra
0 references
monogenic function
0 references
Bargmann-Fock space
0 references
\( L^2\)-estimate
0 references
Moser's iteration
0 references
0 references
0 references
0 references
