Pseudo-differential operators on ℤⁿ with applications to discrete fractional integral operators
- Author
- Duvan Cardona Sanchez (UGent)
- Organization
- Abstract
- In this manuscript we provide necessary and sufficient conditions for the weak( 1, p) boundedness, 1 < p < 8, of discrete Fourier multipliers ( Fourier multipliers on Zn). Our main goal was to apply the results obtained to discrete fractional integral operators. Discrete versions of the Calderon- Vaillancourt theorem and the Gohberg lemma also are proved.
- Keywords
- Pseudo-differential operators, Calderon-Vaillancourt theorem, Gohberg lemma, Discrete fractional integral operator, Hypothesis-K-*, Waring's problem, ESSENTIAL SPECTRUM, HARMONIC-ANALYSIS, ANALOGS, BOUNDEDNESS
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8621359
- MLA
- Cardona Sanchez, Duvan. “Pseudo-Differential Operators on ℤn with Applications to Discrete Fractional Integral Operators.” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 45, no. 4, 2019, pp. 1227–41, doi:10.1007/s41980-018-00195-y.
- APA
- Cardona Sanchez, D. (2019). Pseudo-differential operators on ℤn with applications to discrete fractional integral operators. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 45(4), 1227–1241. https://doi.org/10.1007/s41980-018-00195-y
- Chicago author-date
- Cardona Sanchez, Duvan. 2019. “Pseudo-Differential Operators on ℤn with Applications to Discrete Fractional Integral Operators.” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 45 (4): 1227–41. https://doi.org/10.1007/s41980-018-00195-y.
- Chicago author-date (all authors)
- Cardona Sanchez, Duvan. 2019. “Pseudo-Differential Operators on ℤn with Applications to Discrete Fractional Integral Operators.” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 45 (4): 1227–1241. doi:10.1007/s41980-018-00195-y.
- Vancouver
- 1.Cardona Sanchez D. Pseudo-differential operators on ℤn with applications to discrete fractional integral operators. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY. 2019;45(4):1227–41.
- IEEE
- [1]D. Cardona Sanchez, “Pseudo-differential operators on ℤn with applications to discrete fractional integral operators,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 45, no. 4, pp. 1227–1241, 2019.
@article{8621359,
abstract = {{In this manuscript we provide necessary and sufficient conditions for the weak( 1, p) boundedness, 1 < p < 8, of discrete Fourier multipliers ( Fourier multipliers on Zn). Our main goal was to apply the results obtained to discrete fractional integral operators. Discrete versions of the Calderon- Vaillancourt theorem and the Gohberg lemma also are proved.}},
author = {{Cardona Sanchez, Duvan}},
issn = {{1017-060X}},
journal = {{BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY}},
keywords = {{Pseudo-differential operators,Calderon-Vaillancourt theorem,Gohberg lemma,Discrete fractional integral operator,Hypothesis-K-*,Waring's problem,ESSENTIAL SPECTRUM,HARMONIC-ANALYSIS,ANALOGS,BOUNDEDNESS}},
language = {{eng}},
number = {{4}},
pages = {{1227--1241}},
title = {{Pseudo-differential operators on ℤⁿ with applications to discrete fractional integral operators}},
url = {{http://doi.org/10.1007/s41980-018-00195-y}},
volume = {{45}},
year = {{2019}},
}
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