Hardy type L p -inequalities in r-close-to-convex domains
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- 作者：F. G. Avkhadiev (1)
1. Kazan (Volga Region) Federal University ; ul. Kremlyovskaya 18 ; Kazan ; 420008 ; Russia - 关键词：Hardy type inequalities ; distance function ; Hardy constants ; non ; convex domains
- 刊名：Russian Mathematics (Iz VUZ)
- 出版年：2015
- 出版时间：January 2015
- 年：2015
- 卷：59
- 期：1
- 页码：71-74
- 全文大小：509 KB
- 参考文献：1. Matskewich, T., Sobolevskii, P. E. / The Best Possible Constant in a Generalized Hardy鈥檚 Inequality for Convex Domains in 鈩?sup class="a-plus-plus">n, Nonlinear Anal. 28, No. 9, 1601鈥?610 (1997). 10.1016/S0362-546X(96)00004-1" target="_blank" title="It opens in new window">CrossRef
2. Marcus, M., Mitzel, V. J., Pinchover, Y. / On the Best Constant for Hardy鈥檚 Inequality in 鈩?sup class="a-plus-plus">n, Trans. Amer. Math. Soc., 350, No. 8, 3237鈥?250 (1998). 10.1090/S0002-9947-98-02122-9" target="_blank" title="It opens in new window">CrossRef
3. Davies, E. B. / A Review of Hardy Inequalities, in / TheMaz鈥檡a Anniversary Collection, Vol. 2. Oper. Theory Adv. Appl. 110, 55鈥?7 (1999).
4. Barbatis, G., Filippas, S., Tertikas, A. / A Unified Approach to Improved Lp Hardy Inequalities with Best Constants, Trans. Amer. Math. Soc. 356, No. 6, 2169鈥?196 (2004). 10.1090/S0002-9947-03-03389-0" target="_blank" title="It opens in new window">CrossRef
5. Avkhadiev, F. G., Wirths, K.-J. / Unified Poincar 茅and Hardy Inequalities with Sharp Constants for Convex Domains, Z. Angew. Math. Mech. 87, No. 8鈥?, 632鈥?42 (2007). 10.1002/zamm.200710342" target="_blank" title="It opens in new window">CrossRef
6. Avkhadiev, F. G., Wirths, K.-J. / Sharp Hardy-Type Inequalities with Lamb鈥檚 Constants, Bull. Belg. Math. Soc. Simon Stevin 18, No. 4, 723鈥?36 (2011).
7. Avkhadiev, F. G. / Hardy Type Inequalities in Higher Dimensions with Explicit Estimate of Constants, Lobachevskii J. Math. 21, 3鈥?1 (2006).
8. Avkhadiev, F. G. / Hardy-Type Inequalities on Planar and Spatial Open Sets, Proc. Steklov Inst. Math. 255, No. 1, 2鈥?2 (2006). 10.1134/S008154380604002X" target="_blank" title="It opens in new window">CrossRef
9. Avkhadiev, F. G., Shafigullin, I. K. / Sharp Estimates of Hardy Constants for Domains with Special Boundary Properties, Russian Mathematics (Iz. VUZ) 58, No. 2, 58鈥?1 (2014).
10. Avkhadiev, F. G., Laptev, A. / Hardy Inequalities for Nonconvex Somains, in / International Mathematical Series 鈥楢round Research of Vladimir Maz鈥檡a, I鈥? / Function Spaces (Springer, 2010), Vol. 11, pp. 1鈥?2.
11. Avkhadiev, F. G. / Families of Domains with Best Possible Hardy Constants, Russian Mathematics (Iz. VUZ) 57, No. 9, 49鈥?2 (2013).
12. Avkhadiev, F. G. / A Geometric Desciption of Domains whose Hardy Constant is Equal to 1/4, Izvestiya: Mathematics, 78, 855鈥?76 (2014).
13. Polovinkin, E. S., Balashov, M. V. / Elements of Convex and Strong Convex Analysis (Fizmatlit, Moscow, 2004) [in Russian].
14. Prokhorov, D. V., Stepanov, V. D. / Weighted Estimates for the Riemann-Liouville Operators and Applications, Proc. Steklov Inst. Math. 243, 278鈥?01 (2003).
15. Avkhadiev, F. G., Shafigullin, I. K. / Estimates of Hardy鈥檚 Constants for Tubular Extension of Sets and Domains with Finite Boundary Moments, Siberian Advances in Math. 24, No. 3, 153鈥?58 (2014). 10.3103/S1055134414030018" target="_blank" title="It opens in new window">CrossRef - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics
Russian Library of Science - 出版者：Allerton Press, Inc. distributed exclusively by Springer Science+Business Media LLC
- ISSN：1934-810X
文摘
We describe non-convex domains for which the Hardy constants are the same as for convex domains.