Spectral dilation of operator-valued measures and its application to infinite-dimensional harmonizable processes
A. Makagon, H. Salehi (1987)
Studia Mathematica
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A. Makagon, H. Salehi (1987)
Studia Mathematica
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Thomas William Körner (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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R. Edwards (1969)
Studia Mathematica
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W. Orlicz (1953)
Studia Mathematica
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S. Lachterman (1966)
Studia Mathematica
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Oscar Blasco (1991)
Publicacions Matemàtiques
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The duality between H1 and BMO, the space of functions of bounded mean oscillation (see [JN]), was first proved by C. Fefferman (see [F], [FS]) and then other proofs of it were obtained. In this paper we shall study such space in little more detail and we shall consider the H1-BMO duality for vector-valued functions in the more general setting of spaces of homogeneous type (see [CW]).
K. Urbanik (1958)
Studia Mathematica
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Ryotaro Sato (2000)
Colloquium Mathematicae
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Let L be a Banach lattice of real-valued measurable functions on a σ-finite measure space and T=: t < 0 be a strongly continuous semigroup of positive linear operators on the Banach lattice L. Under some suitable norm conditions on L we prove a general differentiation theorem for superadditive processes in L with respect to the semigroup T.
Thomas-William Korner (1978)
Annales de l'institut Fourier
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As in Part I [Annales de l’Inst. Fourier, 27-3 (1997), 97-113], our object is to construct a measure whose support has Lebesgue measure zero, but whose Fourier transform drops away extremely fast.