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Bergman projection on Lebesgue space induced by doubling weight
José Ángel Peláez, Elena de la Rosa, Jouni Rättyä
Let and be radial weights on the unit disc of the complex plane, and denote and for all . Consider the…
Volterra-type operators mapping weighted Dirichlet space into
José Ángel Peláez, Jouni Rättyä, Fanglei Wu
The problem of describing the analytic functions on the unit disc such that the integral operator is bounded (or compact) from a Banach space…
Integral operators induced by symbols with non-negative Maclaurin coefficients mapping into
José Ángel Peláez, Jouni Rättyä, Fanglei Wu
For analytic functions on the unit disc with non-negative Maclaurin coefficients, we describe the boundedness and compactness of the integral operator $T_g(f)(z)=\int_0^zf(ζ)g'…
Generalization of proximate order and applications
Igor Chyzhykov, Petro Filevych, Jouni Rättyä
We introduce a concept of a quasi proximate order which is a generalization of a proximate order and allows us to study efficiently analytic functions whose order and lower order o…
Compact differences of composition operators on Bergman spaces induced by doubling weights
Bin Liu, Jouni Rättyä, Fanglei Wu
Bounded and compact differences of two composition operators acting from the weighted Bergman space to the Lebesgue space , where and belongs to t…
Harmonic conjugates on Bergman spaces induced by doubling weights
José Ángel Peláez, Jouni Rättyä
A radial weight belongs to the class if there exists such that for all .…