Dirichlet Spaces Associated with Locally Finite Rooted Directed Trees
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DOI: 10.1007/s00020-017-2400-z
Abstract: Let $$\mathscr {T}=(V, \mathcal E)$$T=(V,E) be a leafless, locally finite rooted directed tree. We associate with $$\mathscr {T}$$T a one parameter family of Dirichlet spaces $$\mathscr {H}_q~(q \geqslant 1)$$Hq(q⩾1), which turn out to be Hilbert… read more here.
Keywords: directed trees; dirichlet spaces; rooted directed; finite rooted ... See more keywords
Composition operators on the weighted Bloch space and the weighted Dirichlet spaces, and BMOA with closed range
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DOI: 10.1080/17476933.2017.1345887
Abstract: Abstract We study the composition operators with closed range on the weighted Bloch spaces, the weighted Dirichlet spaces, the Bergman spaces and the Hardy space, the space BMOA. In particular, we study the relationship between… read more here.
Keywords: range; dirichlet spaces; closed range; weighted bloch ... See more keywords
Closure of Bergman and Dirichlet spaces in the Bloch norm
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DOI: 10.5186/aasfm.2020.4533
Abstract: where dA(z) = dx dy π is the normalized Lebesgue area measure on D. In this definition we understand that the sum does not exist if n = 0. Throughout this paper ω satisfies ω̂(z)… read more here.
Keywords: spaces bloch; closure bergman; bloch norm; dirichlet spaces ... See more keywords