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Journal of Inequalities and Applications
Erschienen in: Journal of Inequalities and Applications 1/2006

Open Access 01.12.2006 | Research Article

Boundary behaviour of analytic functions in spaces of Dirichlet type

verfasst von: Daniel Girela, José Ángel Peláez

Erschienen in: Journal of Inequalities and Applications | Ausgabe 1/2006

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Abstract

For https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F92795/MediaObjects/13660_2005_Article_1658_IEq1_HTML.gif and https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F92795/MediaObjects/13660_2005_Article_1658_IEq2_HTML.gif , we let https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F92795/MediaObjects/13660_2005_Article_1658_IEq3_HTML.gif be the space of all analytic functions https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F92795/MediaObjects/13660_2005_Article_1658_IEq4_HTML.gif in https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F92795/MediaObjects/13660_2005_Article_1658_IEq5_HTML.gif such that https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F92795/MediaObjects/13660_2005_Article_1658_IEq6_HTML.gif belongs to the weighted Bergman space https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F92795/MediaObjects/13660_2005_Article_1658_IEq7_HTML.gif . We obtain a number of sharp results concerning the existence of tangential limits for functions in the spaces https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F92795/MediaObjects/13660_2005_Article_1658_IEq8_HTML.gif . We also study the size of the exceptional set https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F92795/MediaObjects/13660_2005_Article_1658_IEq9_HTML.gif , where https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F92795/MediaObjects/13660_2005_Article_1658_IEq10_HTML.gif denotes the radial variation of https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F92795/MediaObjects/13660_2005_Article_1658_IEq11_HTML.gif along the radius https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F92795/MediaObjects/13660_2005_Article_1658_IEq12_HTML.gif , for functions https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F92795/MediaObjects/13660_2005_Article_1658_IEq13_HTML.gif .
Vorheriger Artikel Limiting case of the boundedness of fractional integral operators on nonhomogeneous space
Nächster Artikel On-preinvex-type functions

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Metadaten
Titel
Boundary behaviour of analytic functions in spaces of Dirichlet type
verfasst von
Daniel Girela
José Ángel Peláez
Publikationsdatum
01.12.2006
Verlag
Springer International Publishing
Erschienen in
Journal of Inequalities and Applications / Ausgabe 1/2006
Elektronische ISSN: 1029-242X
DOI
https://doi.org/10.1155/JIA/2006/92795

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