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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2011 Number 9, Pages 10–18 (Mi ivm7926)

This article is cited in 3 papers

$L^1-H^1$ bounds for a generalized Strichartz potential

A. V. Gil'a, V. A. Noginab

a Chair of Differential and Integral Equations, Southern Federal University, Rostov-on-Don, Russia
b Southern Mathematical Institute of Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, Russia

Abstract: We obtain necessary and sufficient conditions for the boundedness of a generalized Strichartz potential.

Keywords: asymptotics, multiplier, Fourier transformation, convolution, symbol.

UDC: 517.983

Received: 05.07.2010


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:9, 7–14

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