A class of Fourier multipliers on H¹(ℝ²)

• Autorzy: Michał Wojciechowski
• Języki publikacji: EN

Abstrakty

EN

An integral criterion for being an $H^1(ℝ^2)$ Fourier multiplier is proved. It is applied in particular to suitable regular functions which depend on the product of variables.

Kategorie tematyczne

• 42B15: Multipliers
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)
• 42B30: H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 140
• Numer: 3
• Strony: 289-298

Daty

wydano

2000

otrzymano

1999-12-10

poprawiono

2000-03-31

Twórcy

autor

Michał Wojciechowski

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland,

Bibliografia

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• [Hö] L. Hörmander, The Analysis of Linear Partial Differential Operators I, Springer, 1983.
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• [T] A. Torchinsky, Real-Variable Methods in Harmonic Analysis, Academic Press, 1986.
• [W1] M. Wojciechowski, A Marcinkiewicz type multiplier theorem for $H^1$ spaces on product domains, this issue, 273-287.
• [W2] M. Wojciechowski, A necessary condition for weak type (1,1) of multiplier transforms, Canad. J. Math., to appear.