• On Isomteries of subspaces of the Dirichlet space among the multiplication operators

K. Hedayatian*

Abstract


Suppose that  is a nonzero closed subspace of the Dirichlet space such that for some , where  is the identity function. We show that analytic symbols that yield isometric multiplication operator on  are the unimodular constants.


Keywords


Multiplication operators, isometries, subspaces, Dirichlet space.

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