Cazacu, Cristian; Flynn, Joshua; Lam, Nguyen; Lu, Guozhen Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities. (English. French summary) Zbl 07800986 J. Math. Pures Appl. (9) 182, 253-284 (2024). MSC: 81S07 26D10 35B35 46E35 26D15 PDFBibTeX XMLCite \textit{C. Cazacu} et al., J. Math. Pures Appl. (9) 182, 253--284 (2024; Zbl 07800986) Full Text: DOI arXiv
Flynn, Joshua; Lam, Nguyen; Lu, Guozhen; Mazumdar, Saikat Hardy’s identities and inequalities on Cartan-Hadamard manifolds. (English) Zbl 1505.26031 J. Geom. Anal. 33, No. 1, Paper No. 27, 34 p. (2023). MSC: 26D10 31C12 46E35 53C21 PDFBibTeX XMLCite \textit{J. Flynn} et al., J. Geom. Anal. 33, No. 1, Paper No. 27, 34 p. (2023; Zbl 1505.26031) Full Text: DOI arXiv
Flynn, Joshua; Lam, Nguyen; Lu, Guozhen Hardy-Poincaré-Sobolev type inequalities on hyperbolic spaces and related Riemannian manifolds. (English) Zbl 1509.46024 J. Funct. Anal. 283, No. 12, Article ID 109714, 37 p. (2022). MSC: 46E36 26D10 35J20 53C21 PDFBibTeX XMLCite \textit{J. Flynn} et al., J. Funct. Anal. 283, No. 12, Article ID 109714, 37 p. (2022; Zbl 1509.46024) Full Text: DOI
Lu, Guozhen; Yang, Qiaohua Sharp Hardy-Sobolev-Maz’ya, Adams and Hardy-Adams inequalities on the Siegel domains and complex hyperbolic spaces. (English) Zbl 1496.32053 Adv. Math. 405, Article ID 108512, 62 p. (2022). MSC: 32V05 32V15 32W50 PDFBibTeX XMLCite \textit{G. Lu} and \textit{Q. Yang}, Adv. Math. 405, Article ID 108512, 62 p. (2022; Zbl 1496.32053) Full Text: DOI arXiv
Li, Jungang; Lu, Guozhen; Yang, Qiaohua Higher order Brezis-Nirenberg problem on hyperbolic spaces: existence, nonexistence and symmetry of solutions. (English) Zbl 1496.35211 Adv. Math. 399, Article ID 108259, 39 p. (2022). Reviewer: Mihai Mihăilescu (Craiova) MSC: 35J91 35J30 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Math. 399, Article ID 108259, 39 p. (2022; Zbl 1496.35211) Full Text: DOI arXiv
Lu, Guozhen; Yang, Qiaohua Green’s functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz’ya inequalities on half spaces. (English) Zbl 1493.46057 Adv. Math. 398, Article ID 108156, 42 p. (2022). MSC: 46E35 42B37 33C05 43A85 PDFBibTeX XMLCite \textit{G. Lu} and \textit{Q. Yang}, Adv. Math. 398, Article ID 108156, 42 p. (2022; Zbl 1493.46057) Full Text: DOI arXiv
Duy, Nguyen Tuan; Lam, Nguyen; Lu, Guozhen \(p\)-Bessel pairs, Hardy’s identities and inequalities and Hardy-Sobolev inequalities with monomial weights. (English) Zbl 1482.42058 J. Geom. Anal. 32, No. 4, Paper No. 109, 36 p. (2022). MSC: 42B35 42B37 26D10 46E35 35A23 PDFBibTeX XMLCite \textit{N. T. Duy} et al., J. Geom. Anal. 32, No. 4, Paper No. 109, 36 p. (2022; Zbl 1482.42058) Full Text: DOI
Dao, Nguyen Anh; Lam, Nguyen; Lu, Guozhen Gagliardo-Nirenberg and Sobolev interpolation inequalities on Besov spaces. (English) Zbl 1491.46022 Proc. Am. Math. Soc. 150, No. 2, 605-616 (2022). MSC: 46E35 46B70 PDFBibTeX XMLCite \textit{N. A. Dao} et al., Proc. Am. Math. Soc. 150, No. 2, 605--616 (2022; Zbl 1491.46022) Full Text: DOI
Chen, Lu; Lu, Guozhen; Zhang, Caifeng Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces. (English) Zbl 1465.35206 J. Geom. Anal. 31, No. 4, 3556-3582 (2021). MSC: 35J60 35J92 35R11 46E35 PDFBibTeX XMLCite \textit{L. Chen} et al., J. Geom. Anal. 31, No. 4, 3556--3582 (2021; Zbl 1465.35206) Full Text: DOI
Liang, Xining; Lu, Guozhen; Wang, Xumin; Yang, Qiaohua Sharp Hardy-Trudinger-Moser inequalities in any \(N\)-dimensional hyperbolic spaces. (English) Zbl 1462.46040 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 199, Article ID 112031, 18 p. (2020). MSC: 46E35 35J20 42B35 PDFBibTeX XMLCite \textit{X. Liang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 199, Article ID 112031, 18 p. (2020; Zbl 1462.46040) Full Text: DOI
Lam, Nguyen; Lu, Guozhen; Zhang, Lu Geometric Hardy’s inequalities with general distance functions. (English) Zbl 1473.35014 J. Funct. Anal. 279, No. 8, Article ID 108673, 34 p. (2020). Reviewer: Praveen Agarwal (Jaipur) MSC: 35A23 PDFBibTeX XMLCite \textit{N. Lam} et al., J. Funct. Anal. 279, No. 8, Article ID 108673, 34 p. (2020; Zbl 1473.35014) Full Text: DOI
Li, Jungang; Lu, Guozhen; Yang, Qiaohua Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions. (English) Zbl 1451.46036 Trans. Am. Math. Soc. 373, No. 5, 3483-3513 (2020). MSC: 46E35 42B15 42B35 42B37 PDFBibTeX XMLCite \textit{J. Li} et al., Trans. Am. Math. Soc. 373, No. 5, 3483--3513 (2020; Zbl 1451.46036) Full Text: DOI
Lam, Nguyen; Lu, Guozhen; Zhang, Lu Factorizations and Hardy’s type identities and inequalities on upper half spaces. (English) Zbl 1435.26015 Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 183, 31 p. (2019). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D10 35A23 46E35 PDFBibTeX XMLCite \textit{N. Lam} et al., Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 183, 31 p. (2019; Zbl 1435.26015) Full Text: DOI
Li, Jungang; Lu, Guozhen; Yang, Qiaohua Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension. (English) Zbl 1402.46025 Adv. Math. 333, 350-385 (2018). MSC: 46E35 46E30 35J91 35R03 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Math. 333, 350--385 (2018; Zbl 1402.46025) Full Text: DOI
Lam, Nguyen; Lu, Guozhen Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. (English) Zbl 1367.26035 Adv. Nonlinear Stud. 17, No. 3, 457-480 (2017). MSC: 26D10 46E35 PDFBibTeX XMLCite \textit{N. Lam} and \textit{G. Lu}, Adv. Nonlinear Stud. 17, No. 3, 457--480 (2017; Zbl 1367.26035) Full Text: DOI arXiv
Lu, Guozhen; Yang, Qiaohua A sharp Trudinger-Moser inequality on any bounded and convex planar domain. (English) Zbl 1369.46029 Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 153, 16 p. (2016). Reviewer: Fayou Zhao (Shanghai) MSC: 46E35 35J20 42B35 PDFBibTeX XMLCite \textit{G. Lu} and \textit{Q. Yang}, Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 153, 16 p. (2016; Zbl 1369.46029) Full Text: DOI arXiv
Lu, Guo Zhen Potential analysis on Carnot groups. II: Relationship between Hausdorff measures and capacities. (English) Zbl 1069.22004 Acta Math. Sin., Engl. Ser. 20, No. 1, 25-46 (2004). MSC: 22E30 46E35 31C15 22E25 PDFBibTeX XMLCite \textit{G. Z. Lu}, Acta Math. Sin., Engl. Ser. 20, No. 1, 25--46 (2004; Zbl 1069.22004) Full Text: DOI