estimates for the Cauchy transforms of distributions with respect to convex cones
Laura De Carli (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Laura De Carli (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Carmichael, D. Richard (1982)
Portugaliae mathematica
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Carmichael, Richard D. (1985)
International Journal of Mathematics and Mathematical Sciences
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Gustavo Garrigós (2002)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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A family of holomorphic function spaces can be defined with reproducing kernels , obtained as real powers of the Cauchy-Szegö kernel. In this paper we study properties of the associated Poisson-like kernels: . In particular, we show boundedness of associated maximal operators, and obtain formulas for the limit of Poisson integrals in the topological boundary of the cone.
Carmichael, Richard D., Hayashi, Elmer K. (1980)
International Journal of Mathematics and Mathematical Sciences
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Németh, A.B. (2004)
Mathematica Pannonica
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Miroslav Fiedler, Vlastimil Pták (1978)
Czechoslovak Mathematical Journal
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Herzog, G. (2000)
Portugaliae Mathematica
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