On the boundedness of multipliers, commutators and the second derivatives of Green’s operators on and
Der-Chen Chang, Song-Ying Li (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Der-Chen Chang, Song-Ying Li (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Zongguang Liu, Guozhen Lu, Shanzhen Lu (2003)
Publicacions Matemàtiques
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In this paper, we obtain some strong and weak type continuity properties for the maximal operator associated with the commutator of the Bochner-Riesz operator on Hardy spaces, Hardy type spaces and weak Hardy type spaces.
G. Sampson (1993)
Studia Mathematica
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We consider operators of the form with Ω(y,u) = K(y,u)h(y-u), where K is a Calderón-Zygmund kernel and (see (0.1) and (0.2)). We give necessary and sufficient conditions for such operators to map the Besov space (= B) into itself. In particular, all operators with , a > 0, a ≠ 1, map B into itself.
Jun Tateoka (1994)
Studia Mathematica
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C. Watari [12] obtained a simple characterization of Lipschitz classes on the dyadic group using the -modulus of continuity and the best approximation by Walsh polynomials. Onneweer and Weiyi [4] characterized homogeneous Besov spaces on locally compact Vilenkin groups, but there are still some gaps to be filled up. Our purpose is to give the characterization of Besov spaces by oscillations, atoms and others on the dyadic groups. As applications, we show a strong capacity inequality...
Loukas Grafakos, Nigel Kalton (2001)
Collectanea Mathematica
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It is shown that multilinear Calderón-Zygmund operators are bounded on products of Hardy spaces.
Chang-Pao Chen, Dah-Chin Luor (2000)
Studia Mathematica
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Let s* denote the maximal function associated with the rectangular partial sums of a given double function series with coefficients . The following generalized Hardy-Littlewood inequality is investigated: , where ξ̅=max(ξ,1), 0 < p < ∞, and μ is a suitable positive Borel measure. We give sufficient conditions on and μ under which the above Hardy-Littlewood inequality holds. Several variants of this inequality are also examined. As a consequence, the ||·||p,μ-convergence property...
Shan Lu, Da Yang (1995)
Studia Mathematica
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Let 0 < p ≤ 1 < q < ∞ and α = n(1/p - 1/q). We introduce some new Hardy spaces which are the local versions of spaces at the origin. Characterizations of these spaces in terms of atomic and molecular decompositions are established, together with their φ-transform characterizations in M. Frazier and B. Jawerth’s sense. We also prove an interpolation theorem for operators on and discuss the -boundedness of Calderón-Zygmund operators. Similar results can also be obtained...
M. Mateljević, M. Pavlović (1984)
Studia Mathematica
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David Adams, Michael Frazier (1988)
Studia Mathematica
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Akihito Uchiyama (1985)
Studia Mathematica
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