On a singular integral
Calixto Calderón (1979)
Studia Mathematica
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Calixto Calderón (1979)
Studia Mathematica
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Roberto Macías, Carlos Segovia (1979)
Studia Mathematica
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Calixto Calderón (1975)
Studia Mathematica
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Robert Latter (1978)
Studia Mathematica
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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.
Akihito Uchiyama (1985)
Studia Mathematica
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Wolodymyr Madych (1974)
Studia Mathematica
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J. Michael Wilson (2003)
Publicacions Matemàtiques
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Isreal Zirman (1978)
Studia Mathematica
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Guoen Hu, Dachun Yang (2000)
Studia Mathematica
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We establish a variant sharp estimate for multilinear singular integral operators. As applications, we obtain the weighted norm inequalities on general weights and certain type estimates for these multilinear operators.
T. Godoy, L. Saal, M. Urciuolo (1997)
Colloquium Mathematicae
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Let m: ℝ → ℝ be a function of bounded variation. We prove the -boundedness, 1 < p < ∞, of the one-dimensional integral operator defined by where for a family of functions satisfying conditions (1.1)-(1.3) given below.