Journal
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 363, Issue 4, Pages 1981-2002Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9947-2010-05108-6
Keywords
Dirichlet spaces; zero sets
Categories
Funding
- SGR [2005SGR 00774]
- DGICYT [MTM2008-05561-C02-01 (MCyT/MEC)]
- Ministerio de EduCacion y Ciencia, Spain [MTM2007-60854, MTM2007-30904-E]
- La Junta de Andalucia [FQM210, P06-FQM01504]
- Ramon y Cajal Program of MICINN (Spain)
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We study the sequences of zeros for functions in the Dirichlet spaces D-s. Using Carleson-Newman sequences we prove that there are great similarities for this problem in the case 0 < s < 1 with that for the classical Dirichlet space.
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