Doğan, Ömer Faruk2023-05-062023-05-0620220354-5180https://doi.org/10.2298/FIL2213293Dhttps://hdl.handle.net/20.500.11776/11968We provide a full characterization in terms of the six parameters involved the boundedness of all standard weighted integral operators induced by harmonic Bergman-Besov kernels acting between different Lebesgue classes with standard weights on the unit ball of R-n. These operators in some sense generalize the harmonic Bergman-Besov projections. To obtain the necessity conditions, we use a technique that heavily depends on the precise inclusion relations between harmonic Bergman-Besov and weighted Bloch spaces on the unit ball. This fruitful technique is new. It has been used first with holomorphic Bergman-Besov kernels by Kaptanoglu and Ureyen. Methods of the sufficiency proofs we employ are Schur tests or Holder or Minkowski type inequalities which also make use of estimates of Forelli-Rudin type integrals.en10.2298/FIL2213293Dinfo:eu-repo/semantics/openAccessIntegral operatorHarmonic Bergman-Besov kernelHarmonic Bergman-Besov spaceWeighted harmonic Bloch spaceHarmonic Bergman-Besov projectionSchur testForelli-Rudin estimateInclusion relationUnit BallWeighted BlochSpacesProjectionsArticle361342934317Q3WOS:0009211286000022-s2.0-85146271760Q3