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Embedding of Dirichlet type spaces $\mathcal {D}^{p}_{p-1 }$ into tent spaces and Volterra operators

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Abstract In this paper, we study the boundedness and compactness of the inclusion mapping from Dirichlet type spaces $\mathcal {D}^{p}_{p-1 }$ to tent spaces. Meanwhile, the boundedness, compactness, and essential… Click to show full abstract

Abstract In this paper, we study the boundedness and compactness of the inclusion mapping from Dirichlet type spaces $\mathcal {D}^{p}_{p-1 }$ to tent spaces. Meanwhile, the boundedness, compactness, and essential norm of Volterra integral operators from Dirichlet type spaces $\mathcal {D}^{p}_{p-1 }$ to general function spaces are also investigated.

Keywords: dirichlet type; type spaces; spaces mathcal; tent spaces; mathcal tent

Journal Title: Canadian Mathematical Bulletin
Year Published: 2020

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