Estimates of capacities associated with Besov spaces
Y. V. Netrusov

This publication is cited in the following articles:

1. Nijjwal Karak, Debarati Mondal, “Capacity in Besov and Triebel–Lizorkin spaces with generalized smoothness”, Georgian Mathematical Journal, 2024  
2. Pengtao Li, Rui Hu, Zhichun Zhai, “Capacities and Embeddings of Besov Spaces via General Convolution Kernels”, La Matematica, 3:1 (2024), 417  
3. Xiangyun Xie, Haihui Wang, Yu Liu, “Heat-Semigroup-Based Besov Capacity on Dirichlet Spaces and Its Applications”, Mathematics, 12:7 (2024), 931  
4. Debarati Mondal, Nijjwal Karak, “Triebel–Lizorkin capacity and Hausdorff measure in metric spaces with chain condition”, J Anal, 2024  
5. Nan Zhao, Yu Liu, “Besov Space via Heat Semigroup on Carnot Group and Its Capacity”, J Geom Anal, 34:12 (2024)  
6. Nijjwal Karak, Debarati Mondal, “Besov and Triebel-Lizorkin Capacity in Metric Spaces”, Mathematica Slovaca, 73:4 (2023), 937  
7. Nan Zhao, Yu Liu, “Besov capacity for a class of nonlocal hypoelliptic operators and its applications”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 117:4 (2023)  
8. Pengtao Li, Rui Hu, Zhichun Zhai, “Strengthened Fractional Sobolev Type Inequalities in Besov Spaces”, Potential Anal, 59:4 (2023), 2105  
9. Suqing Wu, Dachun Yang, Wen Yuan, “Differentiability of logarithmic Besov functions in terms of capacities”, Banach J. Math. Anal., 16:4 (2022)  
10. Liguang Liu, Suqing Wu, Jie Xiao, Wen Yuan, “The logarithmic Sobolev capacity”, Advances in Mathematics, 392 (2021), 107993  
11. Ziwei Li, Dachun Yang, Wen Yuan, “Lebesgue Points of Besov and Triebel–Lizorkin Spaces with Generalized Smoothness”, Mathematics, 9:21 (2021), 2724  
12. Heikkinen T., Koskela P., Tuominen H., “Approximation and quasicontinuity of Besov and Triebel?Lizorkin functions”, Trans. Am. Math. Soc., 369:5 (2017), 3547–3573          
13. Heikkinen T., Tuominen H., “Approximation by H?lder Functions in Besov and Triebel?Lizorkin Spaces”, Constr. Approx., 44:3 (2016), 455–482          
14. Costea S., “Besov Capacity and Hausdorff Measures in Metric Measure Spaces”, Publ Mat, 53:1 (2009), 141–178      
15. Costea S., “Strong A(infinity)-weights and scaling invariant Besov capacities”, Rev Mat Iberoamericana, 23:3 (2007), 1067–1114      
16. Hedberg L.I., Netrusov Yu., “An axiomatic approach to function spaces, spectral synthesis, and luzin approximation - Introduction. Notation”, Mem Amer Math Soc, 188:882 (2007), 1  
17. V. Ya. Èiderman, “Estimates for potentials and $\delta$-subharmonic functions outside exceptional sets”, Izv. Math., 61:6 (1997), 1293–1329