Modular inequalities for the Calderon operator

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概要

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• If $P,Q:[0,\infty)\to$ are increasing functions and $T$ is the Calderon operator defined on positive or decreasing functions, then optimal modular inequalities $\int P(Tf)\leq C\int Q(f)$ are proved. If $P=Q$, the condition on $P$ is both necessary and sufficient for the modular inequality. In addition, we establish general interpolation theorems for modular spaces.

• 東北大学の論文

著者

• Heinig Hans

  Department Of Mathematics Mcmaster University

• Carro Maria

  Departamento de Matematica Aplicada y, Analisis, Universidad de Barcelona

• Carro Maria

  Departamento De Matematica Aplicada Y Analisis Universidad De Barcelona

• Carro Maria

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

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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