On boundedness of superposition operators in spaces of Triebel-Lizorkin type
Winfried Sickel (1989)
Czechoslovak Mathematical Journal
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Winfried Sickel (1989)
Czechoslovak Mathematical Journal
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Sagun Chanillo, Jan-Olov Strömberg, Richard L. Wheeden (1987)
Revista Matemática Iberoamericana
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The purpose of this paper is to derive norm inequalities for potentials of the form Tf(x) = ∫(Rn) f(y)K(x,y)dy, x ∈ Rn, when K is a Kernel which satisfies estimates like those that hold for the Green function associated with the degenerate elliptic equations studied in [3] and [4].
V. Rychkov (1998)
Studia Mathematica
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We give characterizations of Besov and Triebel-Lizorkin spaces and in smooth domains via convolutions with compactly supported smooth kernels satisfying some moment conditions. The results for s ∈ ℝ, 0 < p,q ≤ ∞ are stated in terms of the mixed norm of a certain maximal function of a distribution. For s ∈ ℝ, 1 ≤ p ≤ ∞, 0 < q ≤ ∞ characterizations without use of maximal functions are also obtained.
B. Franchi, R. Serapioni (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Ronald R. Coifman, Loukas Grafakos (1992)
Revista Matemática Iberoamericana
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In this article we study bilinear operators given by inner products of finite vectors of Calderón-Zygmund operators. We find that necessary and sufficient condition for these operators to map products of Hardy spaces into Hardy spaces is to have a certain number of moments vanishing and under this assumption we prove a Hölder-type inequality in the H space context.
Alberto Calderón, Ridgway Scott (1978)
Studia Mathematica
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Josefina Alvarez (1998)
Collectanea Mathematica
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