Characterization of in terms of generalized Littlewood-Paley g-functions
Akihito Uchiyama (1985)
Studia Mathematica
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Akihito Uchiyama (1985)
Studia Mathematica
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Geraldo Soares de Souza, Richard O'Neil, Gary Sampson (1986)
Revista Matemática Iberoamericana
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The theory of functions plays an important role in harmonic analysis. Because of this, it turns out that some spaces of analytic functions have been studied extensively, such as H-spaces, Bergman spaces, etc. One of the major insights that has developed in the study of H-spaces is what we call the real atomic characterization of these spaces.
Tadeusz Pytlik (1984)
Studia Mathematica
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P. Clément, B. de Pagter, F. Sukochev, H. Witvliet (2000)
Studia Mathematica
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We study the interplay between unconditional decompositions and the R-boundedness of collections of operators. In particular, we get several multiplier results of Marcinkiewicz type for -spaces of functions with values in a Banach space X. Furthermore, we show connections between the above-mentioned properties and geometric properties of the Banach space X.
M. Mateljević, M. Pavlović (1984)
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]).
I. J. Maddox (1974)
Compositio Mathematica
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Daniel Girela, María Auxiliadora Márquez (1998)
Publicacions Matemàtiques
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F. Móricz, K. Tandori (1986)
Studia Mathematica
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