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Hardi - Volterra integral operatori normasi uchun aniq qiymat

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MAQOLA ANNOTATSIYASI

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Ushbu ishda vaznli Lebeg fazosida berilgan yadrosi o‘zgarmas bo‘lgan Hardi-Volterra operatori normasi uchun aniq qiymat keltirilgan.

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Teglar

# weight# norm# ядро# kernel# vazn# Hardi-Volterra operatori# Hardi tengsizligi# vaznli Lebeg fazosi# operator normasi# Операторы Харди-Волтерра# неравенство Харди# весовые пространства Лебега# норма оператора# весь# Hardy - Volterra operator# Hardy inequality# weighted Lebesgue space

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Maqola idintifikatorlari

Foydalanilgan adabiyotlar

1. A. Kufner, L. Maligranda and L-E. Persson. The Hardi Inequality. About its History and Some Related Results. Vydavatelský Servis, Plzen, 2007.

2. A. Kufner and L.-E. Persson. Weighted inequalities of Hardi type. World Scientific, New Jersey-London-Singapore-Hong Kong, 2003.

3. G.H. Hardi, J.E. Littlewood, G. Po´lya. Inequalities. Cambridge Univ. Press, 324 (1952).

4. K. Kuliev, G. Kulieva, M. Eshimova. New equivalent conditions for Hardi-type inequality with Oinarov kernel, Scientific Journal of SamSU, 2022-yil, №1 (131).

5. A. Kufner, K. Kuliev, G. Kulieva, M. Eshimova. New equivalent conditions for Hardi-type Inequalities. Mathematica Bohemica, Published online on March 3, 2023 as doi: 10.21136/MB.2023.0088-22.

6. K. Kuliev, G. Kulieva, M. Eshimova. On estimates for norm of some integral operators in weighted Lebesgue spaces, Mathematical Inequalities & Applications Volume 26, Number 1 (2023), p.27–37. doi:10.7153/mia-2023-26-03.

7. K.D. Kuliev. On estimates for norms of some integral operators with Oinarov's kernel, Eurasian Mathematical Journal 13(3), p.67-81.

8. K.D. Kuliev. Nonoscillation criteria for half-linear fourth order differential equations, Uzbek Mathematical Journal, 2021, Volume 65, Issue 2, pp.83-93. doi: 10.29229/uzmj.2021-2-7

9. A. Kufner, K. Kuliev, R. Oinarov: Some criteria for boundedness and compactness of the Hardi operator with some special kernels. J. Inequal. Appl. 2013 (2013), Article ID 310, 15 pages.

10. A. Kufner, K. Kuliev, L.-E. Persson: Some higher order Hardi inequalities. J. Inequal. Appl. 2012 (2012), Article ID 69, 14 pages.

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