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
• Texto completo no disponible (Saber más ...)
• 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.