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In this paper, we prove the boundedness of the Bergman projection on weightedmixed norm spaces of the upper-half space for some weights that are constructedusing the logarithm function and growth functions. Our necessary and sufficientcondition is the same as in the unweighted case, that is it involves only theparameters and not the weight. We then provide some applications in terms ofdual and derivative characterization, and an atomic decomposition of thecorresponding Bergman spaces.

Boundedness of the Bergman projection on some weighted mixed norm Lebesgue spaces of the upper-half space