Journal of Operator Theory

Volume 52, Issue 2, Fall 2004 pp. 293-302.

Multipliers of minimal norm on Dirichlet type spaces

Authors: Antonio Serra
Author institution: Dep. Matematica -- I.S.T., Av. Rovisco Pais, 1049-001 Lisboa, Portugal

Summary: We give a necessary and sufficient condition for the existence of non-constant multipliers of minimal norm on complete NP spaces and use it, along with a result of S. Shimorin, to answer a question posed by S. Axler.

Keywords: NP kernels, weighted Dirichlet spaces

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