Pusti, Sanjoy; Rana, Tapendu \(L^p\)-boundedness of pseudo-differential operators on rank one Riemannian symmetric spaces of noncompact type. (English) Zbl 07729258 Math. Z. 305, No. 1, Paper No. 2, 34 p. (2023). MSC: 43A85 22E30 47G30 PDFBibTeX XMLCite \textit{S. Pusti} and \textit{T. Rana}, Math. Z. 305, No. 1, Paper No. 2, 34 p. (2023; Zbl 07729258) Full Text: DOI arXiv
Martini, Alessio Riesz transforms on \(ax+b\) groups. (English) Zbl 07686960 J. Geom. Anal. 33, No. 7, Paper No. 222, 53 p. (2023). MSC: 42B20 42B30 22E30 PDFBibTeX XMLCite \textit{A. Martini}, J. Geom. Anal. 33, No. 7, Paper No. 222, 53 p. (2023; Zbl 07686960) Full Text: DOI arXiv
Liu, Naijia; Yan, Lixin Singular spherical maximal operators on a class of degenerate two-step nilpotent Lie groups. (English) Zbl 1527.42029 Math. Z. 304, No. 1, Paper No. 16, 27 p. (2023). Reviewer: Ferit Gürbüz (Kırklareli) MSC: 42B25 42B20 22E30 43A80 PDFBibTeX XMLCite \textit{N. Liu} and \textit{L. Yan}, Math. Z. 304, No. 1, Paper No. 16, 27 p. (2023; Zbl 1527.42029) Full Text: DOI arXiv
Martini, Alessio; Plewa, Paweł A sharp multiplier theorem for solvable extensions of Heisenberg and related groups. arXiv:2305.03467 Preprint, arXiv:2305.03467 [math.CA] (2023). MSC: 22E30 42B15 42B20 43A22 BibTeX Cite \textit{A. Martini} and \textit{P. Plewa}, ``A sharp multiplier theorem for solvable extensions of Heisenberg and related groups'', Preprint, arXiv:2305.03467 [math.CA] (2023) Full Text: DOI arXiv OA License
Chousionis, Vasileios; Li, Sean; Zimmerman, Scott Singular integrals on \(C^{1, \alpha}\) regular curves in Carnot groups. (English) Zbl 1504.43008 J. Anal. Math. 146, No. 1, 299-326 (2022). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 43A70 42B20 28A78 22E30 PDFBibTeX XMLCite \textit{V. Chousionis} et al., J. Anal. Math. 146, No. 1, 299--326 (2022; Zbl 1504.43008) Full Text: DOI arXiv
Papageorgiou, Effie Oscillating multipliers on symmetric and locally symmetric spaces. (English) Zbl 1490.42015 Can. J. Math. 74, No. 3, 887-905 (2022). MSC: 42B15 43A85 22E40 22E30 42B20 PDFBibTeX XMLCite \textit{E. Papageorgiou}, Can. J. Math. 74, No. 3, 887--905 (2022; Zbl 1490.42015) Full Text: DOI
Santagati, Federico Hardy spaces on homogeneous trees with flow measures. (English) Zbl 1482.42057 J. Math. Anal. Appl. 510, No. 2, Article ID 126015, 23 p. (2022). MSC: 42B30 42B20 43A22 22E30 PDFBibTeX XMLCite \textit{F. Santagati}, J. Math. Anal. Appl. 510, No. 2, Article ID 126015, 23 p. (2022; Zbl 1482.42057) Full Text: DOI arXiv
Sun, Chuanhong; Li, Pengtao The estimates for the fractional derivatives of the Poisson semigroup associated with Schrödinger operator on Heisenberg groups. (Chinese. English summary) Zbl 1488.42084 Math. Appl. 34, No. 1, 113-122 (2021). MSC: 42B20 42B35 22E30 35J10 PDFBibTeX XMLCite \textit{C. Sun} and \textit{P. Li}, Math. Appl. 34, No. 1, 113--122 (2021; Zbl 1488.42084)
Martini, Alessio; Vallarino, Maria Riesz transforms on solvable extensions of stratified groups. (English) Zbl 1492.43005 Stud. Math. 259, No. 2, 175-200 (2021). Reviewer: Krzysztof Stempak (Wrocław) MSC: 43A30 22E30 42B20 42B30 PDFBibTeX XMLCite \textit{A. Martini} and \textit{M. Vallarino}, Stud. Math. 259, No. 2, 175--200 (2021; Zbl 1492.43005) Full Text: DOI arXiv Link
Papageorgiou, Effie Oscillating multipliers on rank one locally symmetric spaces. (English) Zbl 1457.42023 J. Math. Anal. Appl. 494, No. 1, Article ID 124561, 13 p. (2021). MSC: 42B15 42B20 22E30 22E40 PDFBibTeX XMLCite \textit{E. Papageorgiou}, J. Math. Anal. Appl. 494, No. 1, Article ID 124561, 13 p. (2021; Zbl 1457.42023) Full Text: DOI arXiv
Wang, Hua Morrey spaces related to Schrödinger operators with certain nonnegative potentials and Littlewood-Paley-Stein functions on the Heisenberg groups. (English) Zbl 1474.42066 Stud. Sci. Math. Hung. 57, No. 4, 465-507 (2020). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 42B20 35J10 22E25 22E30 PDFBibTeX XMLCite \textit{H. Wang}, Stud. Sci. Math. Hung. 57, No. 4, 465--507 (2020; Zbl 1474.42066) Full Text: DOI
Wang, Hua Morrey spaces for Schrödinger operators with certain nonnegative potentials, Littlewood-Paley and Lusin functions on the Heisenberg groups. (English) Zbl 1446.42023 Banach J. Math. Anal. 14, No. 4, 1532-1557 (2020). MSC: 42B20 35J10 22E25 22E30 PDFBibTeX XMLCite \textit{H. Wang}, Banach J. Math. Anal. 14, No. 4, 1532--1557 (2020; Zbl 1446.42023) Full Text: DOI arXiv
Wang, Hua Morrey spaces related to certain nonnegative potentials and fractional integrals on the Heisenberg groups. (English) Zbl 1499.42083 J. Inequal. Appl. 2019, Paper No. 232, 21 p. (2019). MSC: 42B20 35J10 22E25 22E30 26A33 PDFBibTeX XMLCite \textit{H. Wang}, J. Inequal. Appl. 2019, Paper No. 232, 21 p. (2019; Zbl 1499.42083) Full Text: DOI arXiv
Martini, Alessio; Ottazzi, Alessandro; Vallarino, Maria A multiplier theorem for sub-Laplacians with drift on Lie groups. (English) Zbl 1439.22021 Rev. Mat. Iberoam. 35, No. 5, 1501-1534 (2019). Reviewer: Sergei S. Platonov (Petrozavodsk) MSC: 22E30 42B15 42B20 43A22 PDFBibTeX XMLCite \textit{A. Martini} et al., Rev. Mat. Iberoam. 35, No. 5, 1501--1534 (2019; Zbl 1439.22021) Full Text: DOI arXiv Link
Chen, Peng; Duong, Xuan Thinh; Li, Ji; Wu, Qingyan Compactness of Riesz transform commutator on stratified Lie groups. (English) Zbl 1423.43003 J. Funct. Anal. 277, No. 6, 1639-1676 (2019). Reviewer: E. K. Narayanan (Bangalore) MSC: 43A15 43A17 22E30 42B20 43A80 PDFBibTeX XMLCite \textit{P. Chen} et al., J. Funct. Anal. 277, No. 6, 1639--1676 (2019; Zbl 1423.43003) Full Text: DOI arXiv
Jiang, Guowei; Liu, Yu \(L^{p}\) estimates for commutators of Riesz transforms associated with Schrödinger operators on stratified groups. (English) Zbl 1417.22007 Anal. Math. Phys. 9, No. 1, 531-553 (2019). Reviewer: Dumitru Motreanu (Perpignan) MSC: 22E30 42B35 35J10 42B20 PDFBibTeX XMLCite \textit{G. Jiang} and \textit{Y. Liu}, Anal. Math. Phys. 9, No. 1, 531--553 (2019; Zbl 1417.22007) Full Text: DOI
Hu, Guorong; Li, Ji Boundedness of singular integrals on the flag Hardy spaces on Heisenberg group. (English) Zbl 1385.42024 J. Math. Anal. Appl. 460, No. 2, 618-633 (2018). Reviewer: Koichi Saka (Akita) MSC: 42B35 42B25 42C40 42B30 42B20 22E30 43A80 PDFBibTeX XMLCite \textit{G. Hu} and \textit{J. Li}, J. Math. Anal. Appl. 460, No. 2, 618--633 (2018; Zbl 1385.42024) Full Text: DOI arXiv
Papageorgiou, Effie Oscillating multipliers on symmetric spaces and locally symmetric spaces. arXiv:1811.03313 Preprint, arXiv:1811.03313 [math.RT] (2018). MSC: 42B15 42B20 22E30 22E40 58G99 BibTeX Cite \textit{E. Papageorgiou}, ``Oscillating multipliers on symmetric spaces and locally symmetric spaces'', Preprint, arXiv:1811.03313 [math.RT] (2018) Full Text: arXiv OA License
Ni, Tianzhen; Liu, Yu Commutators associated with Schrödinger operators on the nilpotent Lie group. (English) Zbl 1380.22001 J. Inequal. Appl. 2017, Paper No. 312, 17 p. (2017). Reviewer: Dumitru Motreanu (Juiz de Fora) MSC: 22E30 42B35 35J10 42B20 22E25 PDFBibTeX XMLCite \textit{T. Ni} and \textit{Y. Liu}, J. Inequal. Appl. 2017, Paper No. 312, 17 p. (2017; Zbl 1380.22001) Full Text: DOI
Liu, Yu; Tang, Guobin A note for Riesz transforms associated with Schrödinger operators on the Heisenberg group. (English) Zbl 1366.42029 Anal. Math. Phys. 7, No. 1, 31-45 (2017). MSC: 42B37 42B20 35J10 22E30 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{G. Tang}, Anal. Math. Phys. 7, No. 1, 31--45 (2017; Zbl 1366.42029) Full Text: DOI
Kępa, Grzegorz Invertibility in the flag kernels algebra on the Heisenberg group. (English) Zbl 1353.42018 J. Fourier Anal. Appl. 22, No. 5, 1076-1096 (2016). Reviewer: Koichi Saka (Akita) MSC: 42B99 42B20 43A80 43A65 22E30 47B34 PDFBibTeX XMLCite \textit{G. Kępa}, J. Fourier Anal. Appl. 22, No. 5, 1076--1096 (2016; Zbl 1353.42018) Full Text: DOI arXiv
Kobayashi, Toshiyuki; Nilsson, Andreas; Sato, Fumihiro Maximal semigroup symmetry and discrete Riesz transforms. (English) Zbl 1345.42008 J. Aust. Math. Soc. 100, No. 2, 216-240 (2016). Reviewer: Krzysztof Stempak (Wrocław) MSC: 42B15 42B99 42B20 22E46 PDFBibTeX XMLCite \textit{T. Kobayashi} et al., J. Aust. Math. Soc. 100, No. 2, 216--240 (2016; Zbl 1345.42008) Full Text: DOI
Liu, Yu; Xie, Wenjiang Riesz transform related to a Schrödinger type operator on the Heisenberg group. (English) Zbl 1321.22012 Georgian Math. J. 22, No. 3, 397-407 (2015). MSC: 22E30 35J10 42B20 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{W. Xie}, Georgian Math. J. 22, No. 3, 397--407 (2015; Zbl 1321.22012) Full Text: DOI
Vallarino, Maria Analysis on harmonic extensions of H-type groups. arXiv:1504.00329 Preprint, arXiv:1504.00329 [math.CA] (2015). MSC: 22E30 42B15 42B20 42B30 BibTeX Cite \textit{M. Vallarino}, ``Analysis on harmonic extensions of H-type groups'', Preprint, arXiv:1504.00329 [math.CA] (2015) Full Text: arXiv OA License
Lohoué, Noël; Marias, Michel Multipliers on locally symmetric spaces. (English) Zbl 1307.42011 J. Geom. Anal. 24, No. 2, 627-648 (2014). Reviewer: Gheorghe Zet (Iaşi) MSC: 42B15 42B10 42B20 42B30 22E30 22E40 PDFBibTeX XMLCite \textit{N. Lohoué} and \textit{M. Marias}, J. Geom. Anal. 24, No. 2, 627--648 (2014; Zbl 1307.42011) Full Text: DOI
Głowacki, Paweł \(L^{p}\)-boundedness of flag kernels on homogeneous groups via symbolic calculus. (English) Zbl 1292.43009 J. Lie Theory 23, No. 4, 953-977 (2013). Reviewer: Paolo Ciatti (Padova) MSC: 43A80 42B20 42B25 22E30 PDFBibTeX XMLCite \textit{P. Głowacki}, J. Lie Theory 23, No. 4, 953--977 (2013; Zbl 1292.43009) Full Text: arXiv Link
Guliyev, V. S.; Eroglu, A.; Mammadov, Y. Y. Riesz potential in generalized Morrey spaces on the Heisenberg group. (English. Russian original) Zbl 1277.42017 J. Math. Sci., New York 189, No. 3, 365-382 (2013); translation from Probl. Mat. Anal. 68, 29-44 (2013). Reviewer: Kwok Pun Ho (Hong Kong) MSC: 42B20 46E30 47B38 22E30 42B37 PDFBibTeX XMLCite \textit{V. S. Guliyev} et al., J. Math. Sci., New York 189, No. 3, 365--382 (2013; Zbl 1277.42017); translation from Probl. Mat. Anal. 68, 29--44 (2013) Full Text: DOI
Liu, Liguang; Vallarino, Maria; Yang, Dachun Equivalent characterizations for boundedness of maximal singular integrals on \(ax+b\)-groups. (English) Zbl 1236.42011 J. Fourier Anal. Appl. 17, No. 6, 1256-1291 (2011). Reviewer: Kôzô Yabuta (Nishinomiya) MSC: 42B20 22E30 PDFBibTeX XMLCite \textit{L. Liu} et al., J. Fourier Anal. Appl. 17, No. 6, 1256--1291 (2011; Zbl 1236.42011) Full Text: DOI arXiv
Jiang, Renjin; Jiang, Xiaojuan; Yang, Dachun Maximal function characterizations of Hardy spaces associated with Schrödinger operators on nilpotent Lie groups. (English) Zbl 1216.43001 Rev. Mat. Complut. 24, No. 1, 251-275 (2011). Reviewer: Huoxiong Wu (Xiamen Fujian) MSC: 43A15 42B25 42B20 42B30 22E25 PDFBibTeX XMLCite \textit{R. Jiang} et al., Rev. Mat. Complut. 24, No. 1, 251--275 (2011; Zbl 1216.43001) Full Text: DOI
Mammadov, Yagub Y. On the Stein-Weiss type inequalities for the Riesz potential on the Heisenberg group and some applications. (English) Zbl 1226.42016 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 32, 141-156 (2010). Reviewer: Koichi Saka (Akita) MSC: 42B35 22E30 42B20 43A80 46E30 PDFBibTeX XMLCite \textit{Y. Y. Mammadov}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 32, 141--156 (2010; Zbl 1226.42016)
Głowacki, Paweł Composition and \(L^2\)-boundedness of flag kernels. (English) Zbl 1190.22010 Colloq. Math. 118, No. 2, 581-585 (2010); correction ibid. 120, No. 2, 331 (2010). Reviewer: Cornelia Vizman (Timişoara) MSC: 22E30 35S05 PDFBibTeX XMLCite \textit{P. Głowacki}, Colloq. Math. 118, No. 2, 581--585 (2010; Zbl 1190.22010) Full Text: DOI arXiv
Yu, Liu \(L^p\) estimates for Schrödinger type operators on the Heisenberg group. (English) Zbl 1187.22008 J. Korean Math. Soc. 47, No. 2, 425-443 (2010). Reviewer: Lubomira Softova (Aversa) MSC: 22E30 35J10 42B20 PDFBibTeX XMLCite \textit{L. Yu}, J. Korean Math. Soc. 47, No. 2, 425--443 (2010; Zbl 1187.22008) Full Text: DOI
Barbas, Helena Riesz transforms on groups of Heisenberg type. (English) Zbl 1185.22005 J. Geom. Anal. 20, No. 1, 1-38 (2010). Reviewer: Koichi Saka (Akita) MSC: 22E30 22E25 42B20 43A80 58J35 PDFBibTeX XMLCite \textit{H. Barbas}, J. Geom. Anal. 20, No. 1, 1--38 (2010; Zbl 1185.22005) Full Text: DOI
Vallarino, Maria Spaces \(H^1\) and BMO on \(ax+b\)-groups. (English) Zbl 1176.22010 Collect. Math. 60, No. 3, 277-295 (2009). Reviewer: Huoxiong Wu (Xiamen Fujian) MSC: 22E30 42B20 42B30 46B70 PDFBibTeX XMLCite \textit{M. Vallarino}, Collect. Math. 60, No. 3, 277--295 (2009; Zbl 1176.22010) Full Text: DOI arXiv EuDML
Mandouvalos, Nikolaos; Marias, Michel Spectrum of the Laplacian and Riesz transform on locally symmetric spaces. (English) Zbl 1166.58015 Bull. Sci. Math. 133, No. 2, 134-144 (2009). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 22E30 22E40 42B20 PDFBibTeX XMLCite \textit{N. Mandouvalos} and \textit{M. Marias}, Bull. Sci. Math. 133, No. 2, 134--144 (2009; Zbl 1166.58015) Full Text: DOI
Lohoué, Noël; Marias, Michel Geometric invariants of locally symmetric spaces and multiplier theorems. (Invariants géométriques des espaces localement symétriques et théorèmes de multiplicateurs.) (English) Zbl 1189.42006 Math. Ann. 343, No. 3, 639-667 (2009). Reviewer: Gheorghe Zet (Iaşi) MSC: 42B15 42B20 42B30 22E30 22E40 PDFBibTeX XMLCite \textit{N. Lohoué} and \textit{M. Marias}, Math. Ann. 343, No. 3, 639--667 (2009; Zbl 1189.42006) Full Text: DOI
Sjögren, Peter; Vallarino, Maria Boundedness from \(H^1\) to \(L^1\) of Riesz transforms on a Lie group of exponential growth. (English) Zbl 1181.43003 Ann. Inst. Fourier 58, No. 4, 1117-1151 (2008). Reviewer: Vladimir V. Kisil (Leeds) MSC: 43A80 42B20 42B30 22E30 PDFBibTeX XMLCite \textit{P. Sjögren} and \textit{M. Vallarino}, Ann. Inst. Fourier 58, No. 4, 1117--1151 (2008; Zbl 1181.43003) Full Text: DOI arXiv Numdam EuDML
Coré, Susana; Geller, Daryl Hörmander type pseudodifferential calculus on homogeneous groups. arXiv:0802.3452 Preprint, arXiv:0802.3452 [math.AP] (2008). MSC: 35S05 47G30 22E30 58J40 42B15 42B20 22E25 BibTeX Cite \textit{S. Coré} and \textit{D. Geller}, ``H\"ormander type pseudodifferential calculus on homogeneous groups'', Preprint, arXiv:0802.3452 [math.AP] (2008) Full Text: arXiv OA License
Lin, Yan Boundedness of multilinear singular integral operators on homogeneous groups. (English) Zbl 1150.42314 Northeast. Math. J. 23, No. 6, 505-512 (2007). MSC: 42B20 22E30 43A15 43A85 PDFBibTeX XMLCite \textit{Y. Lin}, Northeast. Math. J. 23, No. 6, 505--512 (2007; Zbl 1150.42314)
Vallarino, Maria Spectral multipliers on Damek-Ricci spaces. (English) Zbl 1124.22002 J. Lie Theory 17, No. 1, 163-189 (2007). Reviewer: Roman Urban (Wrocław) MSC: 22E30 42B15 42B20 43A80 PDFBibTeX XMLCite \textit{M. Vallarino}, J. Lie Theory 17, No. 1, 163--189 (2007; Zbl 1124.22002) Full Text: Link
Fraser, Andrea Singular integral operators of near-product-type on the Heisenberg group. (English) Zbl 1111.43005 J. Math. Anal. Appl. 327, No. 2, 1225-1243 (2007). Reviewer: Koichi Saka (Akita) MSC: 43A80 22E30 42B20 PDFBibTeX XMLCite \textit{A. Fraser}, J. Math. Anal. Appl. 327, No. 2, 1225--1243 (2007; Zbl 1111.43005) Full Text: DOI
Mayeli, Azita Mexican Hat Wavelet on the Heisenberg Group. arXiv:0705.3364 Preprint, arXiv:0705.3364 [math.FA] (2007). MSC: 42C40 42B20 22E25 BibTeX Cite \textit{A. Mayeli}, ``Mexican Hat Wavelet on the Heisenberg Group'', Preprint, arXiv:0705.3364 [math.FA] (2007) Full Text: arXiv
Fischer, Véronique The spherical maximal function on the free two-step nilpotent Lie group. (English) Zbl 1135.22007 Math. Scand. 99, No. 1, 99-118 (2006). Reviewer: Gabriela P. Ovando (Santa Fé) MSC: 22E25 42B20 PDFBibTeX XMLCite \textit{V. Fischer}, Math. Scand. 99, No. 1, 99--118 (2006; Zbl 1135.22007) Full Text: DOI arXiv
Cowling, Michael; Meda, Stefano Estimates for kernels of intertwining operators on \(\mathrm{SL}(n,\mathbb R)\). (English) Zbl 1126.22004 J. Aust. Math. Soc. 81, No. 1, 105-120 (2006). Reviewer: Mark R. Sepanski (Waco) MSC: 22E30 42B20 22E45 PDFBibTeX XMLCite \textit{M. Cowling} and \textit{S. Meda}, J. Aust. Math. Soc. 81, No. 1, 105--120 (2006; Zbl 1126.22004) Full Text: DOI
Ishi, Hideyuki Wavelet transforms for semidirect product groups with not necessarily commutative normal subgroups. (English) Zbl 1090.42022 J. Fourier Anal. Appl. 12, No. 1, 37-52 (2006). MSC: 42C40 22D10 43A32 PDFBibTeX XMLCite \textit{H. Ishi}, J. Fourier Anal. Appl. 12, No. 1, 37--52 (2006; Zbl 1090.42022) Full Text: DOI
Kawazoe, Takeshi Maximal operators on semisimple Lie groups. (English) Zbl 1204.22007 Afr. J. Math. Phys. 2, No. 2, 99-110, Article No. 0522 (2005). Reviewer: Roman Urban (Wrocław) MSC: 22E30 43A90 22E46 PDFBibTeX XMLCite \textit{T. Kawazoe}, Afr. J. Math. Phys. 2, No. 2, 99--110, Article No. 0522 (2005; Zbl 1204.22007)
Cowling, Michael; Dorofaeff, Brian; Seeger, Andreas; Wright, James A family of singular oscillatory integral operators and failure of weak amenability. (English) Zbl 1072.43004 Duke Math. J. 127, No. 3, 429-486 (2005). Reviewer: Eberhard Kaniuth (Paderborn) MSC: 43A70 42B20 22B10 43A80 22D10 PDFBibTeX XMLCite \textit{M. Cowling} et al., Duke Math. J. 127, No. 3, 429--486 (2005; Zbl 1072.43004) Full Text: DOI arXiv
Beals, Richard; Greiner, Peter Approximate identities from Laguerre functions and singular integrals on the Heisenberg group. (English) Zbl 1031.22002 J. Anal. Math. 89, 213-237 (2003). Reviewer: Koichi Saka (Akita) MSC: 22E30 42C10 43A80 PDFBibTeX XMLCite \textit{R. Beals} and \textit{P. Greiner}, J. Anal. Math. 89, 213--237 (2003; Zbl 1031.22002) Full Text: DOI
Ionescu, Alexandru D. Singular integrals on symmetric spaces. II. (English) Zbl 1014.22012 Trans. Am. Math. Soc. 355, No. 8, 3359-3378 (2003). Reviewer: Salah Mehdi (Göttingen) MSC: 22E46 43A85 PDFBibTeX XMLCite \textit{A. D. Ionescu}, Trans. Am. Math. Soc. 355, No. 8, 3359--3378 (2003; Zbl 1014.22012) Full Text: DOI
Kim, Joonil \(L^p\)-estimates for singular integrals and maximal operators associated with flat curves on the Heisenberg group. (English) Zbl 1012.42013 Duke Math. J. 114, No. 3, 555-593 (2002). Reviewer: Dachun Yang (Beijing) MSC: 42B20 42B25 47A30 47G10 43A80 22E30 PDFBibTeX XMLCite \textit{J. Kim}, Duke Math. J. 114, No. 3, 555--593 (2002; Zbl 1012.42013) Full Text: DOI
Nagel, Alexander; Ricci, Fulvio; Stein, Elias M. Singular integrals with flag kernels and analysis on quadratic CR manifolds. (English) Zbl 0974.22007 J. Funct. Anal. 181, No. 1, 29-118 (2001). Reviewer: K.Saka (Akita) MSC: 22E30 43A80 32V20 PDFBibTeX XMLCite \textit{A. Nagel} et al., J. Funct. Anal. 181, No. 1, 29--118 (2001; Zbl 0974.22007) Full Text: DOI
Chang, Der-Chen; Tie, Jingzhi Some differential operators related to the non-isotropic Heisenberg sub-Laplacian. (English) Zbl 0973.22004 Math. Nachr. 221, 19-39 (2001). Reviewer: Oleg Titow (Berlin) MSC: 22E30 35R20 42B20 PDFBibTeX XMLCite \textit{D.-C. Chang} and \textit{J. Tie}, Math. Nachr. 221, 19--39 (2001; Zbl 0973.22004) Full Text: DOI
Wängefors, Magnus Estimates for Riesz operators on some solvable Lie groups. (English) Zbl 0957.43003 Göteborg: Chalmers Reproservice. Göteborg: Chalmers Univ. (Thesis), vi, 20 p. (2000). MSC: 43A80 42B20 22E30 PDFBibTeX XMLCite \textit{M. Wängefors}, Estimates for Riesz operators on some solvable Lie groups. Göteborg: Chalmers Reproservice; Göteborg: Chalmers Univ. (Thesis) (2000; Zbl 0957.43003)
Geller, Daryl Complex powers of convolution operators on the Heisenberg group. (English) Zbl 0968.35028 Grinberg, E. L. (ed.) et al., Analysis, geometry, number theory: the mathematics of Leon Ehrenpreis. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 251, 223-242 (2000). Reviewer: Nikolaj L.Vasilevskij (México) MSC: 35H10 42B20 22E25 35S05 44A35 PDFBibTeX XMLCite \textit{D. Geller}, Contemp. Math. 251, 223--242 (2000; Zbl 0968.35028)
Kamaly, Amir A new local variant of the Hausdorff-Young inequality. (English) Zbl 0958.42010 Ramírez de Arellano, E. (ed.) et al., Complex analysis and related topics. In part the proceedings of the international symposium, Cuernavaca, Mexico, November 1996. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 114, 107-130 (2000). Reviewer: Khalifa Trimèche (Tunis) MSC: 42B10 43A25 47A30 22E30 47A63 42B20 PDFBibTeX XMLCite \textit{A. Kamaly}, in: Complex analysis and related topics. In part the proceedings of the international symposium, Cuernavaca, Mexico, November 1996. Basel: Birkhäuser. 107--130 (2000; Zbl 0958.42010)
Gaudry, Garth; Sjögren, Peter Haar-like expansions and boundedness of a Riesz operator on a solvable Lie group. (English) Zbl 0936.43006 Math. Z. 232, No. 2, 241-256 (1999). Reviewer: Abdumalik Rakhimov (Tashkent) MSC: 43A80 42B20 22E30 PDFBibTeX XMLCite \textit{G. Gaudry} and \textit{P. Sjögren}, Math. Z. 232, No. 2, 241--256 (1999; Zbl 0936.43006) Full Text: DOI
Sjögren, Peter An estimate for a first-order Riesz operator on the affine group. (English) Zbl 0920.43006 Trans. Am. Math. Soc. 351, No. 8, 3301-3314 (1999). Reviewer: K.Saka (Akita) MSC: 43A80 42B20 22E30 PDFBibTeX XMLCite \textit{P. Sjögren}, Trans. Am. Math. Soc. 351, No. 8, 3301--3314 (1999; Zbl 0920.43006) Full Text: DOI
Gaudry, Garth; Sjögren, Peter Singular integrals on the complex affine group. (English) Zbl 0891.43004 Colloq. Math. 75, No. 1, 133-148 (1998). Reviewer: K.Saka (Akita) MSC: 43A80 43A32 42B20 22E30 PDFBibTeX XMLCite \textit{G. Gaudry} and \textit{P. Sjögren}, Colloq. Math. 75, No. 1, 133--148 (1998; Zbl 0891.43004) Full Text: DOI EuDML
Hoffmann, Werner The Fourier transforms of weighted orbital integrals on semisimple groups of real rank one. (English) Zbl 0876.43006 J. Reine Angew. Math. 489, 53-97 (1997). Reviewer: W.Hoffmann (Berlin) MSC: 43A30 22E46 11F72 PDFBibTeX XMLCite \textit{W. Hoffmann}, J. Reine Angew. Math. 489, 53--97 (1997; Zbl 0876.43006) Full Text: DOI Crelle EuDML
Gaudry, Garth; Sjögren, Peter Singular integrals on Iwasawa \(NA\) groups of rank 1. (English) Zbl 0855.43010 J. Reine Angew. Math. 479, 33-66 (1996). Reviewer: G.Gaudry (Sidney) MSC: 43A80 42B20 22E30 PDFBibTeX XMLCite \textit{G. Gaudry} and \textit{P. Sjögren}, J. Reine Angew. Math. 479, 33--66 (1996; Zbl 0855.43010) Full Text: EuDML
Coulhon, Thierry; Müller, Detlef; Zienkiewicz, Jacek About Riesz transforms on the Heisenberg groups. (English) Zbl 0859.22006 Math. Ann. 305, No. 2, 369-379 (1996). Reviewer: A.F.M.ter Elst (Eindhoven) MSC: 22E30 43A80 42B20 58J35 PDFBibTeX XMLCite \textit{T. Coulhon} et al., Math. Ann. 305, No. 2, 369--379 (1996; Zbl 0859.22006) Full Text: DOI EuDML
Guliev, V. S. Boundedness of singular integral operators on the Heisenberg group in weighted generalized Hölder spaces. (Russian. English summary) Zbl 0852.43006 Anal. Math. 21, No. 4, 245-268 (1995). Reviewer: P.Gurka (Praha) MSC: 43A99 42B20 22E30 PDFBibTeX XMLCite \textit{V. S. Guliev}, Anal. Math. 21, No. 4, 245--268 (1995; Zbl 0852.43006) Full Text: DOI
Fan, Qihong Symbol calculus on the affine group \(``ax+b"\). (English) Zbl 0973.43501 Stud. Math. 115, No. 3, 207-217 (1995). MSC: 43A85 42B20 35S05 22E30 PDFBibTeX XMLCite \textit{Q. Fan}, Stud. Math. 115, No. 3, 207--217 (1995; Zbl 0973.43501) Full Text: DOI EuDML
Ricci, Fulvio; Travaglini, Giancarlo \(L^ p\)-\(L^ q\) estimates for orbital measures and Radon transforms on compact Lie groups and Lie algebras. (English) Zbl 0843.43011 J. Funct. Anal. 129, No. 1, 132-147 (1995). Reviewer: R.Felix (Eichstätt) MSC: 43A80 22E30 42B20 44A12 PDFBibTeX XMLCite \textit{F. Ricci} and \textit{G. Travaglini}, J. Funct. Anal. 129, No. 1, 132--147 (1995; Zbl 0843.43011) Full Text: DOI
Arthur, James On the Fourier transforms of weighted orbital integrals. (English) Zbl 0795.43006 J. Reine Angew. Math. 452, 163-217 (1994). Reviewer: J.Arthur (Ottawa) MSC: 43A30 22E35 22E50 PDFBibTeX XMLCite \textit{J. Arthur}, J. Reine Angew. Math. 452, 163--217 (1994; Zbl 0795.43006) Full Text: DOI Crelle EuDML
Daly, James E.; Kurtz, Douglas S. BMO and singular integrals over local fields. (English) Zbl 0798.43006 J. Aust. Math. Soc., Ser. A 54, No. 3, 321-333 (1993). MSC: 43A70 42B20 22E35 42B30 PDFBibTeX XMLCite \textit{J. E. Daly} and \textit{D. S. Kurtz}, J. Aust. Math. Soc., Ser. A 54, No. 3, 321--333 (1993; Zbl 0798.43006)
Asmar, Nakhlé; Watson, Saleem Harmonic conjugation in \(L^ 1\) on compact Abelian groups. (English) Zbl 0832.42004 Math. Proc. Camb. Philos. Soc. 111, No. 1, 113-126 (1992). Reviewer: H.Rindler (Wien) MSC: 42A50 22B05 43A32 43A17 43A15 PDFBibTeX XMLCite \textit{N. Asmar} and \textit{S. Watson}, Math. Proc. Camb. Philos. Soc. 111, No. 1, 113--126 (1992; Zbl 0832.42004) Full Text: DOI
Pini, Rita A multiplier theorem for \(H\)-type groups. (English) Zbl 0735.43002 Stud. Math. 100, No. 1, 39-49 (1991). Reviewer: Y.Sagher (Chicago) MSC: 43A22 43A80 22E30 PDFBibTeX XMLCite \textit{R. Pini}, Stud. Math. 100, No. 1, 39--49 (1991; Zbl 0735.43002) Full Text: DOI EuDML
Gaudry, G. I. Some singular integrals on the affine group. (English) Zbl 0818.43006 Harmonic analysis, Proc. Conf., Sendai/Jap. 1990, ICM-90 Satell. Conf. Proc., 117-124 (1991). Reviewer: H.Yamaguchi (Saitama) MSC: 43A80 42B20 22E30 43A05 PDFBibTeX XMLCite \textit{G. I. Gaudry}, in: Harmonic Analysis. Proceedings of a conference held in Sendai, Japan, August 14-18, 1990. Tokyo: Springer-Verlag. 117--124 (1991; Zbl 0818.43006)
Głowacki, Paweł The Rockland condition for nondifferential convolution operators. II. (English) Zbl 0737.43002 Stud. Math. 98, No. 2, 98-114 (1991). Reviewer: E.Siebert (Tübingen) MSC: 43A05 22E27 43A17 42B20 42B30 47D03 PDFBibTeX XMLCite \textit{P. Głowacki}, Stud. Math. 98, No. 2, 98--114 (1991; Zbl 0737.43002) Full Text: EuDML
Ricci, Fulvio; Stein, Elias M. Harmonic analysis on nilpotent groups and singular integrals. III: Fractional integration along manifolds. (English) Zbl 0684.22006 J. Funct. Anal. 86, No. 2, 360-389 (1989). Reviewer: D.Müller MSC: 22E30 42B20 47Gxx 43A80 PDFBibTeX XMLCite \textit{F. Ricci} and \textit{E. M. Stein}, J. Funct. Anal. 86, No. 2, 360--389 (1989; Zbl 0684.22006) Full Text: DOI
Dieudonné, J. Treatise on analysis. Volume VII. Translated by Laura Fainsilber. (English) Zbl 0672.58044 Pure and Applied Mathematics (New York) 10-VII. Boston, MA etc.: Academic Press, Inc. xiv, 366 p. $ 69.95 (1988). Reviewer: Josef Wloka (Kiel) MSC: 58J40 58-02 47-02 22E10 35B65 35D30 35D35 35J10 35J48 42B20 45B05 45D05 45E10 46F12 47A40 47A53 47A70 58-01 47-01 PDFBibTeX XMLCite \textit{J. Dieudonné}, Treatise on analysis. Volume VII. Translated by Laura Fainsilber. Boston, MA etc.: Academic Press, Inc. (1988; Zbl 0672.58044) Backlinks: MO
Christ, Michael Inversion in some algebras of singular integral operators. (English) Zbl 0703.43001 Rev. Mat. Iberoam. 4, No. 2, 219-225 (1988). Reviewer: Do Ngoc Diep MSC: 43A15 42B20 46H99 22E60 47H07 PDFBibTeX XMLCite \textit{M. Christ}, Rev. Mat. Iberoam. 4, No. 2, 219--225 (1988; Zbl 0703.43001) Full Text: DOI EuDML
Ricci, Fulvio; Stein, Elias M. Harmonic analysis on nilpotent groups and singular integrals. II: Singular kernels supported on submanifolds. (English) Zbl 0645.42019 J. Funct. Anal. 78, No. 1, 56-84 (1988). Reviewer: D.Müller MSC: 42B20 22E30 43A80 PDFBibTeX XMLCite \textit{F. Ricci} and \textit{E. M. Stein}, J. Funct. Anal. 78, No. 1, 56--84 (1988; Zbl 0645.42019) Full Text: DOI
Ricci, Fulvio; Stein, Elias M. Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals. (English) Zbl 0622.42010 J. Funct. Anal. 73, 179-194 (1987). Reviewer: D.Müller MSC: 42B20 22E30 PDFBibTeX XMLCite \textit{F. Ricci} and \textit{E. M. Stein}, J. Funct. Anal. 73, 179--194 (1987; Zbl 0622.42010) Full Text: DOI
Müller, Detlef Singular integrals supported by submanifolds. (English) Zbl 0669.43008 Rend. Semin. Mat. Fis. Milano 56, 139-144 (1986). Reviewer: S.Krantz MSC: 43A80 42B20 22E25 22E30 PDFBibTeX XMLCite \textit{D. Müller}, Rend. Semin. Mat. Fis. Milano 56, 139--144 (1986; Zbl 0669.43008) Full Text: DOI
Ricci, Fulvio; Stein, Elias M. Oscillatory singular integrals and harmonic analysis on nilpotent groups. (English) Zbl 0583.43010 Proc. Natl. Acad. Sci. USA 83, 1-3 (1986). Reviewer: D.Müller MSC: 43A80 42B20 22E30 22E25 PDFBibTeX XMLCite \textit{F. Ricci} and \textit{E. M. Stein}, Proc. Natl. Acad. Sci. USA 83, 1--3 (1986; Zbl 0583.43010) Full Text: DOI
Oikawa, Takio L’intégrale singulière sur le groupe topologique. (Singular integrals on topological groups). (French) Zbl 0601.43007 Mem. Fac. Educ., Shiga Univ., Nat. Sci. 35, 1-12 (1985). Reviewer: S.Poornima MSC: 43A80 22A10 43-02 43A32 43A85 PDFBibTeX XMLCite \textit{T. Oikawa}, Mem. Fac. Educ., Shiga Univ., Nat. Sci. 35, 1--12 (1985; Zbl 0601.43007)
Christ, Michael Hilbert transforms along curves. I: Nilpotent groups. (English) Zbl 0593.43011 Ann. Math. (2) 122, 575-596 (1985). Reviewer: A.Venkov MSC: 43A85 42B20 44A15 42B25 31B99 22E25 PDFBibTeX XMLCite \textit{M. Christ}, Ann. Math. (2) 122, 575--596 (1985; Zbl 0593.43011) Full Text: DOI
Meyer, Yves Real analysis and operator theory. (English) Zbl 0591.47041 Pseudodifferential operators and applications, Proc. Symp., Notre Dame/Indiana 1984, Proc. Symp. Pure Math. 43, 219-235 (1985). MSC: 47Gxx 42B20 46J15 47B38 46E35 47L10 22E30 PDFBibTeX XML
Bohnke, Georges Algèbres de Sobolev sur certains groupes nilpotents. (French) Zbl 0574.22008 J. Funct. Anal. 63, 322-343 (1985). MSC: 22E25 43A45 42B20 PDFBibTeX XMLCite \textit{G. Bohnke}, J. Funct. Anal. 63, 322--343 (1985; Zbl 0574.22008) Full Text: DOI
Yakovenko, G. N. Control on Lie groups: first integrals, singular controls. (Russian) Zbl 0617.49007 Kibern. Vychisl. Tekh., Kiev 62, 10-20 (1984). Reviewer: L.Faibusovich MSC: 49K15 22E05 93B05 93C15 34H05 PDFBibTeX XMLCite \textit{G. N. Yakovenko}, Kibern. Vychisl. Tekh., Kiev 62, 10--20 (1984; Zbl 0617.49007)
Abouelaz, Ahmed Comportement asymptotique de certains caractères des groupes de Lie nilpotents. (French) Zbl 0533.22010 C. R. Acad. Sci., Paris, Sér. I 297, 521-523 (1983). Reviewer: D.Müller MSC: 22E27 42B20 43A80 22E10 PDFBibTeX XMLCite \textit{A. Abouelaz}, C. R. Acad. Sci., Paris, Sér. I 297, 521--523 (1983; Zbl 0533.22010)
Mantero, Anna Maria Asymmetry of twisted convolution operators. (English) Zbl 0533.43007 J. Funct. Anal. 47, 7-25 (1982). Reviewer: D.Müller MSC: 43A80 42B20 22E30 42B30 PDFBibTeX XMLCite \textit{A. M. Mantero}, J. Funct. Anal. 47, 7--25 (1982; Zbl 0533.43007) Full Text: DOI
Strichartz, Robert S. Singular integrals supported on submanifolds. (English) Zbl 0501.43007 Stud. Math. 74, 137-151 (1982). MSC: 43A70 43A80 22E30 PDFBibTeX XMLCite \textit{R. S. Strichartz}, Stud. Math. 74, 137--151 (1982; Zbl 0501.43007) Full Text: DOI EuDML
Goodman, Roe Singular integral operators on nilpotent Lie groups. (English) Zbl 0449.43008 Ark. Mat. 18, 1-11 (1980). MSC: 43A80 42B20 22E30 47Gxx PDFBibTeX XMLCite \textit{R. Goodman}, Ark. Mat. 18, 1--11 (1980; Zbl 0449.43008) Full Text: DOI
Moore, Calvin C.; Schmidt, Klaus Coboundaries and homomorphisms for non-singular actions and a problem of H. Helson. (English) Zbl 0428.28014 Proc. Lond. Math. Soc., III. Ser. 40, 443-475 (1980). MSC: 28D15 22D40 28B10 22D05 28D05 43A17 43A46 PDFBibTeX XMLCite \textit{C. C. Moore} and \textit{K. Schmidt}, Proc. Lond. Math. Soc. (3) 40, 443--475 (1980; Zbl 0428.28014) Full Text: DOI
Daly, James E. Singular integral multipliers on local fields. (English) Zbl 0475.43006 Harmonic analysis in Euclidean spaces, Part 2, Williamstown/ Massachusetts 1978, Proc. Symp. Pure Math., Vol. 35, 333-335 (1979). MSC: 43A77 11S80 42B15 42B20 22E35 PDFBibTeX XML
Goodman, Roe Singular integral operators on nilpotent Lie groups. (English) Zbl 0423.43006 Harmonic analysis in Euclidean spaces, Part 2, Williamstown/ Massachusetts 1978, Proc. Symp. Pure Math., Vol. 35, 375-378 (1979). MSC: 43A85 42B20 22E25 PDFBibTeX XML
Krantz, Steven G. Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables. (English) Zbl 0401.43004 Math. Ann. 244, 243-262 (1979). MSC: 43A80 22E30 42B30 46E35 42B20 PDFBibTeX XMLCite \textit{S. G. Krantz}, Math. Ann. 244, 243--262 (1979; Zbl 0401.43004) Full Text: DOI EuDML
Dieudonné, Jean Éléments d’analyse. Tome VII. Chapitre XXIII. 1ère partie. (French) Zbl 0402.58011 Cahiers Scientifiques. Fasc. XL. Paris: Gauthier-Villars. xvi, 293 p. F 210.00 (1978). Reviewer: Wolfgang Wendland (Darmstadt); M. Costabel MSC: 58J40 22E10 35B65 35D30 35D35 35J10 35J48 42B20 45B05 45D05 45E10 46F12 47A40 47A53 47A70 58-01 58-02 47-01 47-02 PDFBibTeX XML
Corwin, L.; Greenleaf, F. P. Singular Fourier integral operators and representations of nilpotent Lie groups. (English) Zbl 0391.46033 Commun. Pure Appl. Math. 31, 681-705 (1978). MSC: 46F10 22E27 PDFBibTeX XMLCite \textit{L. Corwin} and \textit{F. P. Greenleaf}, Commun. Pure Appl. Math. 31, 681--705 (1978; Zbl 0391.46033) Full Text: DOI