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Kuelbs–Steadman Spaces for Banach Space-Valued Measures

Author

Listed:
  • Antonio Boccuto

    (Department of Mathematics and Computer Sciences, University of Perugia, via Vanvitelli, 1 I-06123 Perugia, Italy
    These authors contributed equally to this work.)

  • Bipan Hazarika

    (Department of Mathematics, Gauhati University, Guwahati 781014, Assam, India
    These authors contributed equally to this work.)

  • Hemanta Kalita

    (Department of Mathematics, Patkai Christian College (Autonomous), Dimapur, Patkai 797103, Nagaland, India
    These authors contributed equally to this work.)

Abstract

We introduce Kuelbs–Steadman-type spaces ( K S p spaces) for real-valued functions, with respect to countably additive measures, taking values in Banach spaces. We investigate the main properties and embeddings of L q -type spaces into K S p spaces, considering both the norm associated with the norm convergence of the involved integrals and that related to the weak convergence of the integrals.

Suggested Citation

  • Antonio Boccuto & Bipan Hazarika & Hemanta Kalita, 2020. "Kuelbs–Steadman Spaces for Banach Space-Valued Measures," Mathematics, MDPI, vol. 8(6), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:1005-:d:373605
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