Some extensions of the Marcinkiewicz interpolation theorem in terms of modular inequalities

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概要

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• Given a quasi-subaditive operator T:L<SUB>0</SUB>(μ)→ L<SUB>0</SUB>(v), we want to study mapping properties of interpolation type for which the following modular inequality holds \[∈t_{\mathscr{N}}P(|Tf(x)|)dv(x)≤∈t_{\mathscr{M}}Q(|f(x)|)dμ(x) \] where P and Q are modular functions. These results generalize the classical Marcinkiewicz interpolation theorem.

• 社団法人 日本数学会の論文
• 2003-04-01

著者

• Carro Maria

  Departament De Matematica Aplicada I Analisi Facultat De Matematiques Universitat De Barcelona

• NIKOLOVA Ludmila

  Department of Mathematics Sofia University

関連論文

• Modular inequalities for the Calderon operator
• Some extensions of the Marcinkiewicz interpolation theorem in terms of modular inequalities

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