This article is cited in 7 papers

Boundedness of pseudodifferential operators in Hölder–Zygmund spaces of variable order

V. D. Kryakvin

South Federal University, Rostov-on-Don, Russia

Abstract: We introduce the Hölder–Zygmund spaces with a variable smoothness exponent, define equivalent norms, and prove a theorem on boundedness of pseudodifferential operators with Hörmander symbols in these spaces.

Keywords: pseudodifferential operator, Hölder–Zygmund space, equivalent norms.

UDC: 517.983.23

Received: 08.11.2013

 English version: Siberian Mathematical Journal, 2014, 55:6, 1073–1083

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