Doğan, Omer FarukÜreyen, A. Ersin2022-05-112022-05-1120181661-82541661-8262https://doi.org/10.1007/s11785-017-0645-9https://hdl.handle.net/20.500.11776/7435We study the family of weighted harmonic Bloch spaces , on the unit ball of . We provide characterizations in terms of partial and radial derivatives and certain radial differential operators that are more compatible with reproducing kernels of harmonic Bergman-Besov spaces. We consider a class of integral operators related to harmonic Bergman projection and determine precisely when they are bounded on . We define projections from to and as a consequence obtain integral representations. We solve the Gleason problem and provide atomic decomposition for all . Finally we give an oscillatory characterization of when -1.en10.1007/s11785-017-0645-9info:eu-repo/semantics/closedAccessHarmonic Bloch spaceBergman spaceReproducing kernelRadial fractional derivativeBergman projectionDualityGleason problemAtomic decompositionOscillatory characterizationUnit BallBesov-SpacesReproducing KernelsBergman ProjectionsLipschitzArticle12511431177Q3WOS:0004321526000012-s2.0-85012240052Q2