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arXiv · 1704.05281

A family of Dirichlet-Morrey spaces

Petros Galanopoulos·Noel Merchán·Aristomenis G. Siskakis
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Abstract

To each weighted Dirichlet space $\mathcal{D}_p$, $0<p<1$, we associate a family of Morrey-type spaces ${\mathcal{D}}_p^{\lambda}$, $0< \lambda < 1$, constructed by imposing growth conditions on the norm of hyperbolic translates of functions. We indicate some of the properties of these spaces, mention the characterization in terms of boundary values, and study integration and multiplication operators on them.

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Petros Galanopoulos, Noel Merchán, Aristomenis G. Siskakis. 2017-04-18. A family of Dirichlet-Morrey spaces. https://arxiv.org/abs/1704.05281

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