Density of analytic polynomials in abstract Hardy spaces

• Autorzy: Karlovich A. Y.

Identyfikatory

DOI

10.14708/cm.v57i2.4364

• Języki publikacji: EN

Abstrakty

EN

Let X be a separable Banach function space on the unit circle T and let H[X] be the abstract Hardy space built upon X.We show that the set of analytic polynomials is dense in H[X] if the Hardy–Littlewood maximal operator is bounded on the associate space X'. Fis result is specified to the case of variable Lebesgue spaces.

Słowa kluczowe

EN

Banach function space; rearrangement-invariant space; variable Lebesgue space; abstract Hardy space; analytic polynomial; Fejér kernel

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2017
• Tom: Vol 57, No. 2
• Strony: 131--141
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Karlovich A. Y.

• Centro de Matemática e Aplicações, Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Quinta da Torre, 2829-516 Caparica, Portugal

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