Doğan, Ömer Faruk2023-04-202023-04-2020222662-20331735-8787https://doi.org/10.1007/s43037-022-00224-3https://hdl.handle.net/20.500.11776/10934We define positive Toeplitz operators between harmonic Bergman-Besov spaces b(alpha)(p) on the unit ball of R-n for the full ranges of parameters 0 < p < infinity, alpha is an element of R. We give characterizations of bounded and compact Toeplitz operators taking one harmonic Bergman-Besov space into another in terms of Carleson and vanishing Carleson measures. We also give characterizations for a positive Toeplitz operator on b(alpha)(2) to be a Schatten class operator S-p in terms of averaging functions and Berezin transforms for 1 <= p < infinity, alpha is an element of R. Our results extend those known for harmonic weighted Bergman spaces.en10.1007/s43037-022-00224-3info:eu-repo/semantics/openAccessToeplitz OperatorHarmonic Bergman-Besov SpaceSchatten ClassCarleson MeasureBerezin TransformBloch-SpacesUnit BallArticle164Q2WOS:0008641353000012-s2.0-85139406849Q2