A class of integral operators from lebesgue spaces into harmonic bergman-besov or weighted bloch spaces

We consider a class of two-parameter weighted integral operators induced by harmonic Bergman-Besov kernels on the unit ball of Rn and characterize precisely those that are bounded from Lebesgue spaces Lp? into harmonic Bergman-Besov spaces bq?, weighted Bloch spaces b?? or the space of bounded harmonic functions h?, allowing the exponents to be different. These operators can be viewed as generalizations of the harmonic Bergman-Besov projections. © 2021, Hacettepe University. All rights reserved