Kuttner's theorem for operators
I. J. Maddox (1974)
Compositio Mathematica
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I. J. Maddox (1974)
Compositio Mathematica
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F. Móricz, K. Tandori (1986)
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José Luis Arregui, Oscar Blasco (1997)
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G. Sampson (1993)
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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.
B. Maurey, A. Pełczyński (1976)
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A. Pełczyński (1967)
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C. Onneweer, Su Weiyi (1989)
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S. Kwapień (1972)
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M. Djedour (1972)
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D. Przeworska-Rolewicz (1970)
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