Inductive limit of operators and its applications
J. Janas (1988)
Studia Mathematica
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J. Janas (1988)
Studia Mathematica
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J. Janas (1983)
Studia Mathematica
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Earl Berkson, T. Gillespie (1994)
Studia Mathematica
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We develop a spectral-theoretic harmonic analysis for an arbitrary UMD space X. Our approach utilizes the spectral decomposability of X and the multiplier theory for to provide on the space X itself analogues of the classical themes embodied in the Littlewood-Paley Theorem, the Strong Marcinkiewicz Multiplier Theorem, and the M. Riesz Property. In particular, it is shown by spectral integration that classical Marcinkiewicz multipliers have associated transforms acting on X. ...
A. Makagon, H. Salehi (1987)
Studia Mathematica
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D. Albrecht (1993)
Studia Mathematica
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In this paper integral formulae, based on Taylor's functional calculus for several operators, are found. Special cases of these formulae include those of Vasilescu and Janas, and an integral formula for commuting operators with real spectra.
M. David (1967)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Michele Campiti (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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