The Fourier integral operators on Hardy spaces associated with Herz spaces
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 1, pp. 271-287
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In this paper, it is proved that the Fourier integral operators of order $m$, with $-n m \leq -(n-1)/2$, are bounded from three kinds of Hardy spaces associated with Herz spaces to their corresponding Herz spaces.
In this paper, it is proved that the Fourier integral operators of order $m$, with $-n m \leq -(n-1)/2$, are bounded from three kinds of Hardy spaces associated with Herz spaces to their corresponding Herz spaces.
DOI : 10.1007/s10587-011-0012-3
Classification : 35S30, 42B30, 47B38, 47G10
Keywords: Fourier integral operator; Hardy spaces; Herz spaces
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Liu, Lixia; Ma, Bolin; Liu, Sanyang. The Fourier integral operators on Hardy spaces associated with Herz spaces. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 1, pp. 271-287. doi: 10.1007/s10587-011-0012-3

[1] Hörmander, L.: Fourier integral operators I. Acta Math. 127 (1971), 79-183. | DOI | MR

[2] Lu, S., Yang, D.: The Littlewood-Paley function and $\phi$-transform characterizations of a new Hardy space $HK_2$ associated with the Herz space. Stud. Math. 101 (1992), 285-298. | DOI | MR

[3] Lu, S., Yang, D.: The decomposition of the weighted Herz spaces on $R_n$ and its applications. Sci. China Ser. A 38 (1995), 147-158. | MR

[4] Lu, S., Yang, D.: The weighted Herz-type Hardy space and its applications. Sci. China Ser. A 38 (1995), 661-673. | MR | Zbl

[5] Marco, M. P., Silvia, S.: Boundedness of Fourier integral operators on Hardy spaces. Proc. Edinb. Math. Soc. 51 (2008), 443-463. | DOI | MR

[6] Seeger, A., Sogge, C., Stein, E.: Regularity properties of Fourier integral operators. Ann. Math. 134 (1991), 231-251. | DOI | MR | Zbl

[7] Stein, E.: Harmonic Analysis: Real Variable Methods, Orthogonality, and Oscillatory Integrals. Princeton University Press (1993). | MR | Zbl

[8] Yang, D.: The real-variable characterizations of Hardy spaces $HK_p(R^n)$. Adv. Math. 24 (1995), 63-73. | MR

[9] Zhou, Y.: Boundedness of sublinear operators in Herz-type Hardy spaces. Taiwannse J. Math. 13 (2009), 983-996. | DOI | MR | Zbl

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