Line vortices in the U(1) Higgs model
Tristan Rivière (1996)
ESAIM: Control, Optimisation and Calculus of Variations
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Tristan Rivière (1996)
ESAIM: Control, Optimisation and Calculus of Variations
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The paper contains a complete characterization of the moduli of BMOA functions. These are described explicitly by a certain Muckenhoupt-type condition involving Poisson integrals. As a consequence, it is shown that an outer function with BMO modulus need not belong to BMOA. Some related results are obtained for the Bloch space.