Interpolation and sampling in small Bergman spaces

• Autores: Kristian Seip
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 64, Fasc. 1, 2013, págs. 61-72
• Idioma: inglés
• DOI: 10.1007/s13348-011-0054-8
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• Resumen

  • Carleson measures and interpolating and sampling sequences for weighted Bergman spaces on the unit disk are described for weights that are radial and grow faster than the standard weights (1 − |z|)−α , 0 < α < 1. These results make the Hardy space H 2 appear naturally as a “degenerate” endpoint case for the class of Bergman spaces under study.