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Abstract. Consider a measure space (X, dξ ) on which weight functions v , v 0 and v 1 are defined, and let θ ∈ (0, 1) and p, p 0 , p 1 ∈ R + . We investigate the three-weight Carlson type inequalityto hold for some constant A < ∞ and all measurable functions f . A fairly general inequality of this type is proved. This result may be regarded as a generalization and unification of some other recent results of this type in the literature.Mathematics subject classification (2000): 26D15.

Abstract. We discuss the close relation between Carlson type inequalitiesand interpolation, and prove embedding results for real interpolation spaces, in particular into weighted Lp-spaces.

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