Defines higher-order Dirichlet-type spaces with poly-superharmonic weights and proves cyclic finite-order Dirichlet-type operators admit shift models on these spaces, unifying hyperexpansive and m-isometry models.
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Higher order weighted Dirichlet type spaces with poly-superharmonic weights and Dirichlet type operators of finite order
Defines higher-order Dirichlet-type spaces with poly-superharmonic weights and proves cyclic finite-order Dirichlet-type operators admit shift models on these spaces, unifying hyperexpansive and m-isometry models.