We study a characterization of slice Carleson measures and of Carleson measures for both theHardy spaces Hp(B) and the Bergman spaces Ap(B) of the quaternionic unit ball B. In the caseof Bergman spaces, the characterization is done in terms of the axially symmetric completion ofa pseudohyperbolic disc in a complex plane. We also show that a characterization in terms ofpseudo-hyperbolic balls is not possible.

Carleson measures for Hardy and Bergman spacesin the quaternionic unit ball / Sabadini, Irene Maria; Saracco, Alberto. - In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6107. - (2017). [10.1112/jlms.12035]

Carleson measures for Hardy and Bergman spacesin the quaternionic unit ball

SABADINI, IRENE MARIA;SARACCO, Alberto
2017

Abstract

We study a characterization of slice Carleson measures and of Carleson measures for both theHardy spaces Hp(B) and the Bergman spaces Ap(B) of the quaternionic unit ball B. In the caseof Bergman spaces, the characterization is done in terms of the axially symmetric completion ofa pseudohyperbolic disc in a complex plane. We also show that a characterization in terms ofpseudo-hyperbolic balls is not possible.
Carleson measures for Hardy and Bergman spacesin the quaternionic unit ball / Sabadini, Irene Maria; Saracco, Alberto. - In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6107. - (2017). [10.1112/jlms.12035]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2825598
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