
Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives
- Author
- Aidyn Kassymov (UGent) , Michael Ruzhansky (UGent) , Niyaz Tokmagambetov (UGent) and Berikbol Torebek (UGent)
- Organization
- Abstract
- In this paper we show different inequalities for fractional order differential operators. In particular, the Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for the Caputo, Riemann-Liouville and Hadamard derivatives are obtained. In addition, we show some applications of these inequalities.
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Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8688353
- MLA
- Kassymov, Aidyn, et al. “Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg Type Inequalities for Some Fractional Derivatives.” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 15, 2021, doi:10.1007/s43037-020-00097-4.
- APA
- Kassymov, A., Ruzhansky, M., Tokmagambetov, N., & Torebek, B. (2021). Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 15. https://doi.org/10.1007/s43037-020-00097-4
- Chicago author-date
- Kassymov, Aidyn, Michael Ruzhansky, Niyaz Tokmagambetov, and Berikbol Torebek. 2021. “Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg Type Inequalities for Some Fractional Derivatives.” BANACH JOURNAL OF MATHEMATICAL ANALYSIS 15. https://doi.org/10.1007/s43037-020-00097-4.
- Chicago author-date (all authors)
- Kassymov, Aidyn, Michael Ruzhansky, Niyaz Tokmagambetov, and Berikbol Torebek. 2021. “Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg Type Inequalities for Some Fractional Derivatives.” BANACH JOURNAL OF MATHEMATICAL ANALYSIS 15. doi:10.1007/s43037-020-00097-4.
- Vancouver
- 1.Kassymov A, Ruzhansky M, Tokmagambetov N, Torebek B. Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives. BANACH JOURNAL OF MATHEMATICAL ANALYSIS. 2021;15.
- IEEE
- [1]A. Kassymov, M. Ruzhansky, N. Tokmagambetov, and B. Torebek, “Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 15, 2021.
@article{8688353, abstract = {{In this paper we show different inequalities for fractional order differential operators. In particular, the Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for the Caputo, Riemann-Liouville and Hadamard derivatives are obtained. In addition, we show some applications of these inequalities.}}, articleno = {{6}}, author = {{Kassymov, Aidyn and Ruzhansky, Michael and Tokmagambetov, Niyaz and Torebek, Berikbol}}, issn = {{2662-2033}}, journal = {{BANACH JOURNAL OF MATHEMATICAL ANALYSIS}}, language = {{eng}}, pages = {{24}}, title = {{Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives}}, url = {{http://dx.doi.org/10.1007/s43037-020-00097-4}}, volume = {{15}}, year = {{2021}}, }
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