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Non-Isotropic Potential Theoretic Inequality
Abstract
In this paper, the new weighted inequalities were derived by β-distance which is similar to the given inequality for the potential operator defined in [1]. The results presented here would provide extensions of those given in earlier works.
Keywords
References
- [1]. Adams, D., Traces of potentials arising from traslation invariant operators, Ann. Scuola Norm. Sup. Pisa, 25 (1971) 203-217.
- [2]. Besov, O.V., Lizorkin, P.I., The L^{p} estimates of a certain class of non-isotropic singular integrals, Dokl. Akad. Nauk, SSSR, 69 (1960) 1250-1253.
- [3]. Garcia-Cuerva, J., Martell, J.M., Two-weight norm inequalies for maximal operator and fractional integrals on non-homogeneous spaces, Indiana Univ. Math. J., 50-3 (2001) 1241-1280.
- [4]. Hedberg, L., On certain convolution inequalities. Proc. Amer. Math. Soc. 36 (1972) 505-510.
- [5]. Kufner, A., O. John and S. Fucik, Function spaces, Academia, Prague and Noordhoff, Leyden 1977.
- [6]. Levitan, B.M., Generelized Translation Operators and Some of Their Applications, Nauka, Moscow, 1962; English translation: Israel Program for Scientific Translation 1964.
- [7]. Morrey, C.B., On the solutions of quasi-linear elliptic partial differential equations, Trans. Amer. Math. Soc. 43 (1938) 126-166.
- [8]. Ragusa, M. A., Catania, and P. Zamboni, Sant'agata-Messina, A Potential Theoretic Inequality, Czechoslovak Mathematical Journal, 51-126 (2001) 55-65.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
June 29, 2018
Submission Date
September 1, 2017
Acceptance Date
May 9, 2018
Published in Issue
Year 2018 Volume: 39 Number: 2
APA
Yıldırım, M. E., Akkurt, A., & Yıldırım, H. (2018). Non-Isotropic Potential Theoretic Inequality. Cumhuriyet Science Journal, 39(2), 325-338. https://doi.org/10.17776/csj.436027
AMA
1.Yıldırım ME, Akkurt A, Yıldırım H. Non-Isotropic Potential Theoretic Inequality. CSJ. 2018;39(2):325-338. doi:10.17776/csj.436027
Chicago
Yıldırım, Merve Esra, Abdullah Akkurt, and Hüseyin Yıldırım. 2018. “Non-Isotropic Potential Theoretic Inequality”. Cumhuriyet Science Journal 39 (2): 325-38. https://doi.org/10.17776/csj.436027.
EndNote
Yıldırım ME, Akkurt A, Yıldırım H (June 1, 2018) Non-Isotropic Potential Theoretic Inequality. Cumhuriyet Science Journal 39 2 325–338.
IEEE
[1]M. E. Yıldırım, A. Akkurt, and H. Yıldırım, “Non-Isotropic Potential Theoretic Inequality”, CSJ, vol. 39, no. 2, pp. 325–338, June 2018, doi: 10.17776/csj.436027.
ISNAD
Yıldırım, Merve Esra - Akkurt, Abdullah - Yıldırım, Hüseyin. “Non-Isotropic Potential Theoretic Inequality”. Cumhuriyet Science Journal 39/2 (June 1, 2018): 325-338. https://doi.org/10.17776/csj.436027.
JAMA
1.Yıldırım ME, Akkurt A, Yıldırım H. Non-Isotropic Potential Theoretic Inequality. CSJ. 2018;39:325–338.
MLA
Yıldırım, Merve Esra, et al. “Non-Isotropic Potential Theoretic Inequality”. Cumhuriyet Science Journal, vol. 39, no. 2, June 2018, pp. 325-38, doi:10.17776/csj.436027.
Vancouver
1.Merve Esra Yıldırım, Abdullah Akkurt, Hüseyin Yıldırım. Non-Isotropic Potential Theoretic Inequality. CSJ. 2018 Jun. 1;39(2):325-38. doi:10.17776/csj.436027