Proof of two conjectures of Móricz on double trigonometric series |
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| Authors: | Tuo-Yeong Lee |
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| Affiliation: | Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore 637616, Republic of Singapore |
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| Abstract: | We use a unified approach to obtain several integrability theorems of Boas [R.P. Boas, Integrability of trigonometric series, I, Duke Math. J. 18 (1951) 787-793]. In particular, we settle two conjectures of Móricz [F. Móricz, On the integrability of double cosine and sine series, II, J. Math. Anal. Appl. 154 (1991) 466-483] concerning double trigonometric series. |
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| Keywords: | Multiple sine series Multiple cosine series Regularly convergent multiple series |
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