Skip to main content
SpringerLink
Log in

Superposition Operators in the Algebra of Functions of Two Variables with Finite Total Variation

  • Published:
Monatshefte für Mathematik Aims and scope Submit manuscript

Abstract.

 We show that the Hardy space of functions of two variables with finite total variation is a Banach algebra under the pointwise operations and a suitably chosen norm. Then we characterize Nemytskii superposition operators, which map the Hardy space into itself and satisfy the global Lipschitz condition.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. University of Nizhny Novgorod, Russia, , , , , , RU

    Vyacheslav V. Chistyakov

Authors
  1. Vyacheslav V. Chistyakov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received 7 June 2001; in revised form 8 January 2002

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chistyakov, V. Superposition Operators in the Algebra of Functions of Two Variables with Finite Total Variation. Monatsh. Math. 137, 99–114 (2002). https://doi.org/10.1007/s006050200048

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s006050200048

Search

Navigation