Some characterizations of the n-dimensional Peano derivative
Isreal Zirman (1978)
Studia Mathematica
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Isreal Zirman (1978)
Studia Mathematica
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O. Blasco (1987)
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.
Calixto Calderón (1971)
Studia Mathematica
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Loukas Grafakos (1992)
Revista Matemática Iberoamericana
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We continue the study of multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We determine the set of all r ≤ 1 for which these operators map products of Lebesgue spaces L(R) into the Hardy spaces H(R). At the endpoint case r = n/(n + m + 1), where m is the highest vanishing moment of the multilinear operator, we prove a weak type result.
Ronald Coifman, Guido Weiss (1972)
Studia Mathematica
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R. Coifman, Guido Weiss (1970)
Studia Mathematica
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Tadeusz Pytlik (1992)
Colloquium Mathematicae
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Ewa Damek (1992)
Studia Mathematica
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Richard D. Carmichael (1980)
Rendiconti del Seminario Matematico della Università di Padova
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Philippe Jaming (1999)
Colloquium Mathematicae
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We study harmonic functions for the Laplace-eltrami operator on the real hyperbolic space . We obtain necessary and sufficient conditions for these functions and their normal derivatives to have a boundary distribution. In doing so, we consider different behaviors of hyperbolic harmonic functions according to the parity of the dimension of the hyperbolic ball . We then study the Hardy spaces , 0