On vector-valued Fourier multiplier theorems
Frank Zimmermann (1989)
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Frank Zimmermann (1989)
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Stefan Samko (1995)
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Denny Leung (1993)
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It is shown that the weak spaces , and are isomorphic as Banach spaces.
Peter Detre (1991)
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Jürgen Marschall (1987)
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Michał Wojciechowski (2000)
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An integral criterion for being an Fourier multiplier is proved. It is applied in particular to suitable regular functions which depend on the product of variables.
Earl Berkson, T. Gillespie (1994)
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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. ...
Hans Triebel (1977)
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Daniel Oberlin (1977)
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Fernando Cobos, Jaak Peetre (1989)
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George Gasper, Walter Trebels (1979)
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