Localization for multiple Fourier series with “J k -lacunary sequence of partial sums” in Orlicz classes

Author:

Bloshanskii I. L.,Tsukareva Z. N.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference9 articles.

1. I. L. Bloshanskii, “On criteria for weak generalized localization in n-dimensional space,” Dokl. Akad. Nauk SSSR 271(6), 1294–1298 (1983) [Soviet Math. Dokl. 28, 244–248 (1983)].

2. I. L. Bloshanskii and O. V. Lifantseva, “Weak generalized localization for multiple Fourier series whose rectangular partial sums are considered with respect to some subsequence,” Mat. Zametki 84(3), 334–347 (2008) [Math. Notes 84 (3), 314–327 (2008)].

3. I. L. Bloshanskii and O. V. Lifantseva, “On localization for multiple Fourier series with lacunary sequence of partial sums in the class L 1,” in 15th Saratov Winter Workshop (Izd. SGU, Saratov, 2010), pp. 29–30 [in Russian].

4. I. Bloshanskii, O. Lifantseva, and Z. Tsukareva, “On localization for multiple Fourier series with lacunary sequences of partial sums in Orlicz spaces,” in 8th Congress of the International Society for Analysis: Its Applications and Computations (Peoples’ Friendship University of Russia, Moscow, 2011), pp. 399–400.

5. Z. N. Tsukareva, “Weak generalized localization for multiple Fourier series with lacunary sequence of partial sums in Orlicz classes,” Vestnik Moskov. Gos. Obl. Univ. Ser. Fiz. Mat., No. 1, 18–22 (2012).

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