On the bilinear Hilbert transform.
Lacey, Michael T. (1998)
Documenta Mathematica
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Lacey, Michael T. (1998)
Documenta Mathematica
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R. O'Neil, G. Weiss (1963)
Studia Mathematica
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Bučkovska, Aneta (2001)
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Mathematische Zeitschrift
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Bernstein, S. (1999)
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V. Červený, J. Zahradník (1975)
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Vladimir Rakočević (2000)
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Guessous, Mohamed (1997)
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T. M. Wolniewicz (1987)
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S. Kwapien (1972-1973)
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Minghua Lin (2013)
Studia Mathematica
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Let A, B be positive operators on a Hilbert space with 0 < m ≤ A, B ≤ M. Then for every unital positive linear map Φ, Φ²((A + B)/2) ≤ K²(h)Φ²(A ♯ B), and Φ²((A+B)/2) ≤ K²(h)(Φ(A) ♯ Φ(B))², where A ♯ B is the geometric mean and K(h) = (h+1)²/(4h) with h = M/m.
B. E. Rhoades (1975)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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G. H. Constantin ha definito una classe di operatori di Cesàro-Hilbert-Schmidt. In questa Nota l'Autore trova la corrispondente proprietà per una più generale classe di operatori di Hilbert-Schmidt (G. H. S.).
Sever Silvestru Dragomir (2017)
Concrete Operators
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Some trace inequalities of Shisha-Mond type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.