For BMOA symbols g1 and g2, the meromorphic optimal domains (T_{g1},H^p) and (T_{g2},H^p) coincide exactly when each symbol is the other symbol integrated against a bounded analytic function, with the two functions reciprocals.
Small weighted Bergman spaces
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
This paper is based on the course \lq\lq Weighted Hardy-Bergman spaces\rq\rq\, I delivered in the Summer School \lq\lq Complex and Harmonic Analysis and Related Topics\rq\rq at the Mekrij\"arvi research station of University of Eastern Finland, June $2014$. The main purpose of this survey is to present recent progress on the theory of Bergman spaces $A^p_\omega$, induced by radial weights $\omega$ satisfying the doubling property $\int_r^1\omega(s)\,ds\le C\int_{\frac{1+r}{2}}^1\omega(s)\,ds$.
fields
math.CV 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Meromorphic Optimal domain of Integral Operators
For BMOA symbols g1 and g2, the meromorphic optimal domains (T_{g1},H^p) and (T_{g2},H^p) coincide exactly when each symbol is the other symbol integrated against a bounded analytic function, with the two functions reciprocals.