A Berezin-type map and a class of weighted composition operators
In this paper we consider the map L defined on the Bergman space La2(+)$L_a^2({{\rm\mathbb{C}}_{\rm{ + }}})$ of the right half plane ℂ+ by (Lf)(w)=πM′(w)∫+(fM′)(s)|bw(s)|2dA˜(s)$(Lf)(w) = \pi M'(w)\int\limits_{{{\rm\mathbb{C}}_{\rm{ + }}}} {\left( {{f \over {M'}}} \right)} (s){\left| {{b...
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-01-01
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| Series: | Concrete Operators |
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| Online Access: | https://doi.org/10.1515/conop-2017-0003 |