On the zeros of functions in Dirichlet-type spaces
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- by Jordi Pau and José Ángel Peláez PDF
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Abstract:
We study the sequences of zeros for functions in the Dirichlet spaces $\mathcal {D}_s$. 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.References
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Additional Information
- Jordi Pau
- Affiliation: Departament de Matemàtica Aplicada i Analisi, Universitat de Barcelona, 08007 Barcelona, Spain
- MR Author ID: 671438
- Email: jordi.pau@ub.edu
- José Ángel Peláez
- Affiliation: Departament de Análisis Matemático, Universidad de Málaga, Campus de Teatinos, 29071 Málaga, Spain
- Email: japelaez@uma.es
- Received by editor(s): December 22, 2008
- Published electronically: November 18, 2010
- Additional Notes: The first author was partially supported by SGR grant $2005$SGR $00774$ and DGICYT grant MTM$2008$-$05561$-$C02$-$01$ (MCyT/MEC), while the second author was supported by: the Ministerio de EduCación y Ciencia, Spain\rq\rq (MTM2007-60854 and MTM2007-30904-E); from \lq\lq La Junta de Andalucía\rq\rq (FQM210 and P06-FQM01504), and by the Ramón y Cajal Program of MICINN (Spain)
- © Copyright 2010 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 363 (2011), 1981-2002
- MSC (2000): Primary 30C15, 30D45, 30D50, 30H05
- DOI: https://doi.org/10.1090/S0002-9947-2010-05108-6
- MathSciNet review: 2746672