Analytic continuation of Toeplitz operators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00451525" target="_blank" >RIV/67985840:_____/15:00451525 - isvavai.cz</a>
Alternative codes found
RIV/47813059:19610/15:#0000491
Result on the web
<a href="http://dx.doi.org/10.1007/s12220-014-9515-0" target="_blank" >http://dx.doi.org/10.1007/s12220-014-9515-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12220-014-9515-0" target="_blank" >10.1007/s12220-014-9515-0</a>

Result language
angličtina
Original language name
Analytic continuation of Toeplitz operators
Original language description
Generalizing results of Rossi and Vergne for the holomorphic discrete series on symmetric domains, on the one hand, and of Chailuek and Hall for Toeplitz operators on the ball, on the other hand, we establish existence of analytic continuation of weighted Bergman spaces, in the weight (Wallach) parameter, as well as of the associated Toeplitz operators (with sufficiently nice symbols), on any smoothly bounded strictly pseudoconvex domain. Still further extension to Sobolev spaces of holomorphic functions is likewise treated.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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