On some results involving generalized hypergeometric polynomials
Dahiya, R.S., Singh, Bhagat (1974)
Portugaliae mathematica
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Dahiya, R.S., Singh, Bhagat (1974)
Portugaliae mathematica
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Lahcen Ouchti (2005)
Annales de l'I.H.P. Probabilités et statistiques
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L. Carlitz (1970)
Collectanea Mathematica
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Ulla Dinger (1992)
Revista Matemática Iberoamericana
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We prove that, in arbitrary finite dimensions, the maximal operator for the Laguerre semigroup is of weak type (1,1). This extends Muckenhoupt's one-dimensional result.
J. Meder (1958)
Annales Polonici Mathematici
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Lizhong Peng, Richard Rochberg, Zhijian Wu (1992)
Studia Mathematica
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We introduce a sequence of Hankel style operators , k = 1,2,3,..., which act on the Bergman space of the unit disk. These operators are intermediate between the classical big and small Hankel operators. We study the boundedness and Schatten-von Neumann properties of the and show, among other things, that are cut-off at 1/k. Recall that the big Hankel operator is cut-off at 1 and the small Hankel operator at 0.
O. Fomenko (1961)
Acta Arithmetica
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Imre Z. Ruzsa, Andrzej Schinzel (1995)
Compositio Mathematica
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