Fractional operators and their commutators on generalized Orlicz spaces

• Autorzy: Karppinen Arttu

Identyfikatory

DOI

10.7494/OpMath.2022.42.4.583

• Języki publikacji: EN

Abstrakty

EN

In this paper we examine boundedness of fractional maximal operator. The main focus is on commutators and maximal commutators on generalized Orlicz spaces (also known as Musielak-Orlicz spaces) for fractional maximal functions and Riesz potentials. We prove their boundedness between generalized Orlicz spaces and give a characterization for functions of bounded mean oscillation.

Słowa kluczowe

EN

maximal operator; commutator; fractional operator; generalized Orlicz; Musielak-Orlicz

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2022
• Tom: Vol. 42, no. 4
• Strony: 583--604
• Opis fizyczny: Bibliogr. 37 poz.

Twórcy

autor

Karppinen Arttu

• University of Warsaw, Institute of Applied Mathematics and Mechanics, Warsaw, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).