Inner functions with derivatives in the weak hardy space

Joseph A. Cima; Artur Nicolau

doi:10.1090/S0002-9939-2014-12305-7

Inner functions with derivatives in the weak hardy space

Joseph A. Cima, Artur Nicolau

Departament de Matemàtiques

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© 2014 American Mathematical Society. It is proved that exponential Blaschke products are the inner functions whose derivative is in the weak Hardy space. As a consequence, it is shown that exponential Blaschke products are Frostman shift invariant. Exponential Blaschke products are described in terms of their logarithmic means and also in terms of the behavior of the derivatives of functions in the corresponding model space.

Idioma original	Anglès
Pàgines (de-a)	581-594
Revista	Proceedings of the American Mathematical Society
Volum	143
Número	2
DOIs	https://doi.org/10.1090/S0002-9939-2014-12305-7
Estat de la publicació	Publicada - 1 de gen. 2015

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10.1090/S0002-9939-2014-12305-7

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title = "Inner functions with derivatives in the weak hardy space",

abstract = "{\textcopyright} 2014 American Mathematical Society. It is proved that exponential Blaschke products are the inner functions whose derivative is in the weak Hardy space. As a consequence, it is shown that exponential Blaschke products are Frostman shift invariant. Exponential Blaschke products are described in terms of their logarithmic means and also in terms of the behavior of the derivatives of functions in the corresponding model space.",

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AU - Nicolau, Artur

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AB - © 2014 American Mathematical Society. It is proved that exponential Blaschke products are the inner functions whose derivative is in the weak Hardy space. As a consequence, it is shown that exponential Blaschke products are Frostman shift invariant. Exponential Blaschke products are described in terms of their logarithmic means and also in terms of the behavior of the derivatives of functions in the corresponding model space.

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UR - https://www.scopus.com/pages/publications/84919339859

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DO - 10.1090/S0002-9939-2014-12305-7

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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ER -

Inner functions with derivatives in the weak hardy space

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