Free operators with operator coefficients
Franz Lehner (1998)
Colloquium Mathematicae
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Franz Lehner (1998)
Colloquium Mathematicae
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Shanzhen Lu, Dachun Yang (1992)
Studia Mathematica
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We give a Littlewood-Paley function characterization of a new Hardy space HK₂ and its φ-transform characterizations in M. Frazier & B. Jawerth's sense.
Vitali Liskevich, Michael Röckner, Zeev Sobol, Oleksiy Us (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Rafał Latała (1999)
Studia Mathematica
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Let be a sequence of independent symmetric real random variables with logarithmically concave tails. We consider a variable , where are real numbers. We derive approximate formulas for the tails and moments of X and of its decoupled version, which are exact up to some universal constants.
Loukas Grafakos, Nigel Kalton (2001)
Collectanea Mathematica
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It is shown that multilinear Calderón-Zygmund operators are bounded on products of Hardy spaces.
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.
Guoen Hu, Dachun Yang (2000)
Studia Mathematica
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We establish a variant sharp estimate for multilinear singular integral operators. As applications, we obtain the weighted norm inequalities on general weights and certain type estimates for these multilinear operators.
P. Wojtaszczyk (2000)
Studia Mathematica
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We show that in for p ≠ 2 the constants of equivalence between finite initial segments of the Walsh and trigonometric systems have power type growth. We also show that the Riemann ideal norms connected with those systems have power type growth.