Dyachenko, M. I.; Oganesyan, K. A. Counterexamples to the Hardy-Littlewood theorem for generalized monotone sequences. (English. Russian original) Zbl 07676237 Math. Notes 113, No. 3, 458-463 (2023); translation from Mat. Zametki 113, No. 3, 466-471 (2023). MSC: 26-XX 05-XX 40-XX PDFBibTeX XMLCite \textit{M. I. Dyachenko} and \textit{K. A. Oganesyan}, Math. Notes 113, No. 3, 458--463 (2023; Zbl 07676237); translation from Mat. Zametki 113, No. 3, 466--471 (2023) Full Text: DOI
Dyachenko, Mikhail; Nursultanov, Erlan; Tikhonov, Sergey; Weisz, Ferenc Hardy-Littlewood-type theorems for Fourier transforms in \(\mathbb{R}^d\). (English) Zbl 1510.42015 J. Funct. Anal. 284, No. 4, Article ID 109776, 36 p. (2023). Reviewer: E. K. Narayanan (Bangalore) MSC: 42B10 42B25 42B30 46E30 PDFBibTeX XMLCite \textit{M. Dyachenko} et al., J. Funct. Anal. 284, No. 4, Article ID 109776, 36 p. (2023; Zbl 1510.42015) Full Text: DOI arXiv
Dyachenko, M.; Nursultanov, E.; Tikhonov, S. Hardy-Littlewood and Pitt’s inequalities for Hausdorff operators. (English) Zbl 1409.42006 Bull. Sci. Math. 147, 40-57 (2018). Reviewer: Włodzimierz Łenski (Poznań) MSC: 42A16 42A20 42A38 PDFBibTeX XMLCite \textit{M. Dyachenko} et al., Bull. Sci. Math. 147, 40--57 (2018; Zbl 1409.42006) Full Text: DOI
Dyachenko, M.; Nursultanov, E.; Tikhonov, S. Hardy-type theorems on Fourier transforms revised. (English) Zbl 1395.42003 J. Math. Anal. Appl. 467, No. 1, 171-184 (2018). MSC: 42A16 42A38 42A20 PDFBibTeX XMLCite \textit{M. Dyachenko} et al., J. Math. Anal. Appl. 467, No. 1, 171--184 (2018; Zbl 1395.42003) Full Text: DOI Link
Dzhumabaeva, D. G.; Dyachenko, M. I.; Nursultanov, E. D. On convergence of multiple trigonometric series with monotone coefficients. (English. Russian original) Zbl 1388.42009 Sib. Math. J. 58, No. 2, 205-214 (2017); translation from Sib. Mat. Zh. 58, No. 2, 270-280 (2017). Reviewer: Ferenc Weisz (Budapest) MSC: 42B05 PDFBibTeX XMLCite \textit{D. G. Dzhumabaeva} et al., Sib. Math. J. 58, No. 2, 205--214 (2017; Zbl 1388.42009); translation from Sib. Mat. Zh. 58, No. 2, 270--280 (2017) Full Text: DOI
D’yachenko, M. I.; Nursultanov, E. D.; Nursultanov, M. E. The Hardy-Littlewood theorem for multiple Fourier series with monotone coefficients. (English. Russian original) Zbl 1350.42013 Math. Notes 99, No. 4, 503-510 (2016); translation from Mat. Zametki 99, No. 4, 502-510 (2016). MSC: 42B05 PDFBibTeX XMLCite \textit{M. I. D'yachenko} et al., Math. Notes 99, No. 4, 503--510 (2016; Zbl 1350.42013); translation from Mat. Zametki 99, No. 4, 502--510 (2016) Full Text: DOI
Dyachenko, Mikhail; Liflyand, Elijah; Tikhonov, Sergey Uniform convergence and integrability of Fourier integrals. (English) Zbl 1201.42003 J. Math. Anal. Appl. 372, No. 1, 328-338 (2010). Reviewer: Brett Wick (Atlanta) MSC: 42A38 PDFBibTeX XMLCite \textit{M. Dyachenko} et al., J. Math. Anal. Appl. 372, No. 1, 328--338 (2010; Zbl 1201.42003) Full Text: DOI
Dyachenko, Mikhail; Tikhonov, Sergey A Hardy-Littlewood theorem for multiple series. (English) Zbl 1283.42031 J. Math. Anal. Appl. 339, No. 1, 503-510 (2008). MSC: 42B25 PDFBibTeX XMLCite \textit{M. Dyachenko} and \textit{S. Tikhonov}, J. Math. Anal. Appl. 339, No. 1, 503--510 (2008; Zbl 1283.42031) Full Text: DOI
Dyachenko, Mikhail; Tikhonov, Sergey Convergence of trigonometric series with general monotone coefficients. (English) Zbl 1141.42004 C. R., Math., Acad. Sci. Paris 345, No. 3, 123-126 (2007). Reviewer: Boris I. Golubov (Dolgoprudny) MSC: 42A20 42A32 42B05 PDFBibTeX XMLCite \textit{M. Dyachenko} and \textit{S. Tikhonov}, C. R., Math., Acad. Sci. Paris 345, No. 3, 123--126 (2007; Zbl 1141.42004) Full Text: DOI