Dyadic Martingale Hardy-amalgam spaces: Embeddings and Duality

preprint2021arXivOpen access

Abstract

We present in this paper some embeddings of various dyadic martingale Hardy-amalgam spaces Hp,qS,  Hp,qs,  Hp,q∗,  Qp,qH^S_{p,q},\,\, H^s_{p,q},\,\,H^*_{p,q},\,\,\mathcal{Q}_{p,q} and Pp,q\mathcal{P}_{p,q} of the real line. In the same settings, we characterize the dual of Hp,qsH^s_{p,q} for large pp and qq. We also introduce a Garsia-type space Gp,q\mathcal{G}_{p,q} and characterize its dual space.

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