Cardona, Duván; Ruzhansky, Michael The weak (1,1) boundedness of Fourier integral operators with complex phases. (English) Zbl 08179243 J. Lond. Math. Soc., II. Ser. 113, No. 3, Article ID e70507, 49 p. (2026). MSC: 35S30 42B20 42B37 42B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardona, Duván; Delgado, Julio; Kumar, Vishvesh; Ruzhansky, Michael \(L^p\)-\(L^q\) estimates for subelliptic pseudo-differential operators on compact Lie groups. (English) Zbl 1581.43007 Osaka J. Math. 62, No. 4, 587-608 (2025). Reviewer: Luigi Rodino (Torino) MSC: 43A80 22E30 58J40 53C17 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Cardona, Duván; Kumar, Vishvesh; Ruzhansky, Michael \(L^p\)-\(L^q\) boundedness of pseudo-differential operators on graded Lie groups. (English) Zbl 08100574 New York J. Math. 31, 722-748 (2025). Reviewer: K. Parthasarathy (Chennai) MSC: 43A80 22E30 58J40 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Cardona Sánchez, Duván; Kumar, Vishvesh; Ruzhansky, Michael; Tokmagambetov, Niyaz \(L^p\)-\(L^q\) boundedness of continuous linear operators on smooth manifolds. (English) Zbl 1570.58016 Ann. Funct. Anal. 16, No. 3, Paper No. 50, 42 p. (2025). MSC: 58J40 47G30 × Cite Format Result Cite Review PDF Full Text: DOI
Gómez Cobos, Santiago; Ruzhansky, Michael \(L^p\)-bounds in safarov pseudo-differential calculus on manifolds with bounded geometry. (English) Zbl 1566.58018 J. Lond. Math. Soc., II. Ser. 111, No. 4, Article ID e70145, 44 p. (2025). Reviewer: Claude Zuily (Orsay) MSC: 58J40 35S05 53B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghosh, Abhishek; Ruzhansky, Michael Sparse bounds for oscillating multipliers on stratified groups. (English) Zbl 1581.43002 Monatsh. Math. 205, No. 3, 511-529 (2024). MSC: 43A22 42B15 42B20 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardona, Duván; Delgado, Julio; Ruzhansky, Michael Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups. (English) Zbl 1559.43004 J. Geom. Anal. 34, No. 12, Paper No. 374, 47 p. (2024). MSC: 43A80 35S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardona, Duván; Ruzhansky, Michael Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups. (English) Zbl 1545.22006 Complex Var. Elliptic Equ. 69, No. 7, 1049-1082 (2024). Reviewer: Yunfeng Zhang (Beijing) MSC: 22E30 58J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardona, Duván; Federico, Serena; Ruzhansky, Michael Subelliptic sharp Gårding inequality on compact Lie groups. (English) Zbl 1544.35215 Pure Appl. Anal. 6, No. 2, 455-485 (2024). Reviewer: Do Ngoc Diep (Hà Nội) MSC: 35S05 22E30 58J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kassymov, Aidyn; Kumar, Vishvesh; Ruzhansky, Michael Functional inequalities on symmetric spaces of noncompact type and applications. (English) Zbl 1544.43005 J. Geom. Anal. 34, No. 7, Paper No. 208, 42 p. (2024). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 43A85 22E30 26D10 35A23 45J05 35L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghosh, Sekhar; Kumar, Vishvesh; Ruzhansky, Michael Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups. (English) Zbl 1540.35426 Math. Ann. 388, No. 4, 4201-4249 (2024). Reviewer: Vladimir Bobkov (Ufa) MSC: 35R03 35B50 35H20 35J75 35P30 35R11 22E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardona, Duván; Ruzhansky, Michael Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups. (English) Zbl 1548.43001 Potential Anal. 60, No. 3, 965-1005 (2024). MSC: 43A15 43A80 46E35 42B25 43A22 22E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardona, Duván; Delgado, Julio; Grajales, Brian; Ruzhansky, Michael Control of the Cauchy problem on Hilbert spaces: a global approach via symbol criteria. (English) Zbl 1530.93025 Commun. Pure Appl. Anal. 22, No. 11, 3295-3329 (2023). MSC: 93B05 93C25 35S30 42B20 42B37 42B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kassymov, Aidyn; Ragusa, Maria Alessandra; Ruzhansky, Michael; Suragan, Durvudkhan Stein-Weiss-Adams inequality on Morrey spaces. (English) Zbl 1546.43005 J. Funct. Anal. 285, No. 11, Article ID 110152, 30 p. (2023). MSC: 43A80 22E30 42B35 43A85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cardona, Duván; Ruzhansky, Michael Oscillating singular integral operators on compact Lie groups revisited. (English) Zbl 1505.35380 Math. Z. 303, No. 2, Paper No. 26, 21 p. (2023). MSC: 35S30 42B20 42B37 42B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardona, Duván; Ruzhansky, Michael Björk-Sjölin condition for strongly singular convolution operators on graded Lie groups. (English) Zbl 1510.35411 Math. Z. 302, No. 4, 1957-1981 (2022). Reviewer: P. K. Ratnakumar (Allahabad) MSC: 35S30 42B20 42B37 42B35 45E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardona, Duván; Delgado, Julio; Ruzhansky, Michael Drift diffusion equations with fractional diffusion on compact Lie groups. (English) Zbl 1522.35544 J. Evol. Equ. 22, No. 4, Paper No. 84, 33 p. (2022). MSC: 35R11 35H20 35R03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kassymov, Aidyn; Ruzhansky, Michael; Suragan, Durvudkhan Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups. (English) Zbl 1519.43005 Forum Math. 34, No. 5, 1147-1158 (2022). Reviewer: Hajer Bahouri (Paris) MSC: 43A80 22E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cardona, Duván; Ruzhansky, Michael Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups. (English) Zbl 1528.43001 Collect. Math. 73, No. 3, 477-504 (2022). MSC: 43A15 43A22 22E25 43A80 42B15 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardona, Duván; Ruzhansky, Michael Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators. (English) Zbl 1495.35226 Arch. Math. 119, No. 2, 189-198 (2022). MSC: 35S30 42B20 42B37 42B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardona, Duván; Delgado, Julio; Ruzhansky, Michael \(L^p\)-bounds for pseudo-differential operators on graded Lie groups. (English) Zbl 1492.22007 J. Geom. Anal. 31, No. 12, 11603-11647 (2021). Reviewer: Yu Qiao (Xi’an) MSC: 22E30 58J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Delgado, Julio; Ruzhansky, Michael Schatten-von Neumann classes of integral operators. (English. French summary) Zbl 1530.47061 J. Math. Pures Appl. (9) 154, 1-29 (2021). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 47G10 47B10 22E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akylzhanov, Rauan; Ruzhansky, Michael; Nursultanov, Erlan Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and \(L^p\)-\(L^q\) Fourier multipliers on compact homogeneous manifolds. (English) Zbl 1422.42021 J. Math. Anal. Appl. 479, No. 2, 1519-1548 (2019). Reviewer: Krzysztof Stempak (Wrocław) MSC: 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kassymov, Aidyn; Ruzhansky, Michael; Suragan, Durvudkhan Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups. (English) Zbl 1416.22012 Integral Transforms Spec. Funct. 30, No. 8, 643-655 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 22E30 43A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ruzhansky, Michael; Sugimoto, Mitsuru A local-to-global boundedness argument and Fourier integral operators. (English) Zbl 1486.47084 J. Math. Anal. Appl. 473, No. 2, 892-904 (2019). MSC: 47G10 35S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Delgado, Julio; Ruzhansky, Michael \(L^p\)-bounds for pseudo-differential operators on compact Lie groups. (English) Zbl 1419.35263 J. Inst. Math. Jussieu 18, No. 3, 531-559 (2019). Reviewer: Luigi Rodino (Torino) MSC: 35S05 35R03 22E30 47G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ruzhansky, Michael; Suragan, Durvudkhan Uncertainty relations on nilpotent Lie groups. (English) Zbl 1404.81133 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2201, Article ID 20170082, 12 p. (2017). MSC: 81R10 22E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ruzhansky, Michael; Turunen, Ville Sharp Gårding inequality on compact Lie groups. (English) Zbl 1238.22004 J. Funct. Anal. 260, No. 10, 2881-2901 (2011). Reviewer: Luigi Rodino (Torino) MSC: 22E30 43A80 58J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv