A construction of convolution operators on free groups
Tadeusz Pytlik (1984)
Studia Mathematica
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Tadeusz Pytlik (1984)
Studia Mathematica
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Roger Jones (1999)
Studia Mathematica
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We establish an exponential estimate for the relationship between the ergodic maximal function and the maximal operator associated with convolution powers of a probability measure.
C. Onneweer, Su Weiyi (1989)
Studia Mathematica
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Akihito Uchiyama (1985)
Studia Mathematica
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Stanisław Kwapień, Stanisław Szarek (1979)
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.
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...
S. C. Chakrabarti (1954)
Rendiconti del Seminario Matematico della Università di Padova
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Haskell Rosenthal (1971)
Studia Mathematica
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