The paper gives the full if-and-only-if characterization of embeddings and compact embeddings between Hardy and weighted Bergman spaces on the unit ball for all exponents and weights.
Arsenović, Embedding derivatives of ℳ-harmonic functions into /u1D43F)u1D4⋯Dspaces, Rocky Mountain J
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Embedding and compact embedding between Bergman and Hardy spaces
The paper gives the full if-and-only-if characterization of embeddings and compact embeddings between Hardy and weighted Bergman spaces on the unit ball for all exponents and weights.