Carleson Measures and Toeplitz operators for weighted Bergman spaces on the unit ball
50 citations recorded by the source corpus.
Some new characterizations on Carleson measures for weighted Bergman spaces on the unit ball involving product of functions are obtained. For these we characterize bounded and compact Toeplitz operators between weighted Bergman spaces. The above results are applied to characterize bounded and compact extended Ces\`aro operators and pointwise multiplication operators. The results are new even in the case of the unit disk.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/ee77ccb976df5d9ba14dd67e278823bc187a31f9
Citations in the corpus
- Volterra type integration operators from Bergman spaces to Hardy spaces (2019, unknown): “Therefore, since p > 2, by the results in [23] (see also Theorem B in [28]), we have for any r > 0 ν̂h,b(z) := νh,b(D(z, r)) (1− |z|2)n+α+1 ∈ L p p−2 (Bn, dVα) and ‖ν̂h,b‖ L p p−2 (dVα) .”