Found 112 Documents (Results 1–100)

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A Tauberian approach to an analog of Weyl’s law for the Kohn Laplacian on compact Heisenberg manifolds. (English)Zbl 07503487

MSC:  32W10 32W30
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A Tauberian approach to Weyl’s law for the Kohn Laplacian on spheres. (English)Zbl 07496484

MSC:  32V05 32V20
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CR embeddability of quotients of the Rossi sphere via spectral theory. (English)Zbl 07488266

MSC:  32V05 32V20
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Marcinkiewicz multipliers associated with the Kohn Laplacian on the Shilov boundary of the product domain in $$\mathbb{C}^{2n}$$. (English)Zbl 07463794

MSC:  32F18 32W10
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The Bochner-Kodaira-Nakano formula for line bundles on CR manifolds with transversal CR $$\mathbb{R}$$-action. (English)Zbl 1478.32111

MSC:  32V20 32W10
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Anisotropic 1-Laplacian problems with unbounded weights. (English)Zbl 1479.35489

MSC:  35J92 35A01 35A15
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Sharp pointwise estimates for weighted critical $$p$$-Laplace equations. (English)Zbl 1464.35142

MSC:  35J92 35B45
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Structure of minimizers of Cafarelli-Kohn-Nirenberg inequality. (English)Zbl 1479.35462

MSC:  35J91 35J20
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An analog of the Weyl law for the Kohn Laplacian on spheres. (English)Zbl 1467.32015

MSC:  32V20 35P20
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Low perturbations for a class of nonuniformly elliptic problems. (English)Zbl 1442.35116

MSC:  35J60 35J91 58E30
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Sobolev and Schatten estimates for the complex Green operator on spheres. (English)Zbl 1436.32118

MSC:  32W05 47B10
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Spectra of Kohn Laplacians on spheres. (English)Zbl 1425.32030

MSC:  32V05 32V30
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Spectrum of the Kohn Laplacian on the Rossi sphere. (English)Zbl 1396.32018

MSC:  32V30 32V05
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Lichnerowicz-Obata theorem for Kohn Laplacian on the real ellipsoid. (English)Zbl 1438.32031

MSC:  32V05 32V15 32V20
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From Hermitean Clifford analysis to subelliptic Dirac operators on odd dimensional spheres and other CR manifolds. (English)Zbl 1402.35089

Cerejeiras, Paula (ed.) et al., Clifford analysis and related topics. In honor of Paul A. M. Dirac, CART 2014, Tallahassee, Florida, December 15–17, 2014. Cham: Springer (ISBN 978-3-030-00047-9/hbk; 978-3-030-00049-3/ebook). Springer Proceedings in Mathematics & Statistics 260, 39-51 (2018).
MSC:  35H20 32V05 15A66
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Szegő kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds. (English)Zbl 1412.32028

Memoirs of the American Mathematical Society 1217. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4101-2/print; 978-1-4704-4750-2/ebook). v, 146 p. (2018).
MSC:  32V20 32V30
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The Webster scalar curvature and sharp upper and lower bounds for the first positive eigenvalue of the Kohn-Laplacian on real hypersurfaces. (English)Zbl 1404.32071

MSC:  32V20 32W10
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A weighted anisotropic variant of the Caffarelli-Kohn-Nirenberg inequality and applications. (English)Zbl 1394.35178

MSC:  35J60 35J91 58E30
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The sharp upper bounds for the first positive eigenvalue of the Kohn-Laplacian on compact strictly pseudoconvex hypersurfaces. (English)Zbl 1396.32017

MSC:  32V20 32W10
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Spectral multipliers for the Kohn Laplacian on forms on the sphere in $$\mathbb {C}^n$$. (English)Zbl 1392.32017

MSC:  32V40 32V20 32W05
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On the singularities of the Szegő projections on lower energy forms. (English)Zbl 1398.32038

MSC:  32V20 32V30 32V10
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An integral formula in Kähler geometry with applications. (English)Zbl 1377.53094

MSC:  53C55 32V40
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Coercivity of weighted Kohn Laplacians: the case of model monomial weights in $$\mathbb {C}^2$$. (English)Zbl 1368.32027

MSC:  32W50 32U05
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On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and $$p$$-sub-Laplacian inequalities on stratified groups. (English)Zbl 1358.22003

MSC:  22E30 43A80
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Comparison theorems in Riemannian geometry with applications. (English)Zbl 1367.53037

Suceavă, Bogdan D. (ed.) et al., Recent advances in the geometry of submanifolds: dedicated to the memory of Franki Dillen (1963–2013). AMS special session on geometry of submanifolds, San Francisco State University, San Francisco, CA, USA, October 25–26, 2014, and the AMS special session on recent advances in the geometry of submanifolds: dedicated to the memory of Franki Dillen (1963–2013), Michigan State University, East Lansing, Ml, USA, March 14–15, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2298-1/pbk; 978-1-4704-3532-5/ebook). Contemporary Mathematics 674, 185-209 (2016).
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On the Hopf-Oleinik lemma for degenerate-elliptic equations at characteristic points. (English)Zbl 1356.35116

MSC:  35J70 35B51 35R03
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Derivative formulas and Poincaré inequality for Kohn-Laplacian type semigroups. (English)Zbl 1348.60118

MSC:  60J60 47D07 60H10 60J75 60J45
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Equivalence of estimates on a domain and its boundary. (English)Zbl 1336.32030

MSC:  32T99 32W05
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On Kac’s principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group. (English)Zbl 1336.35346

MSC:  35R03 35S15
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A new characterization of the CR sphere and the sharp eigenvalue estimate for the Kohn Laplacian. (English)Zbl 1319.53032

MSC:  53C21 32V30
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MSC:  32V20
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The inverse of a parameter family of degenerate operators and applications to the Kohn-Laplacian. (English)Zbl 1315.35010

MSC:  35A08 32V05
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Bounded solutions for a class of semilinear equations on the Heisenberg group. (English)Zbl 1308.31011

MSC:  31C45 35J60 22E30
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Entire solutions for a class of elliptic equations involving $$p$$-biharmonic operator and Rellich potentials. (English)Zbl 1307.35021

MSC:  35B08 35J92 35J30
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Inequalities for lower order eigenvalues of the Folland-Stein operator and quadratic polynomial operator of the Kohn Laplacian. (Chinese. English summary)Zbl 1324.35127

MSC:  35P15 35R03

Non-compactness of the Neumann operator on the Heisenberg ball. (English)Zbl 1290.32037

MSC:  32W10 32V20 35H20
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Yamabe type equations with sign-changing nonlinearities on the Heisenberg group, and the role of Green functions. (English)Zbl 1322.35143

Serrin, James B. (ed.) et al., Recent trends in nonlinear partial differential equations I: evolution problems. Workshop in honor of Patrizia Pucci’s 60th birthday ‘Nonlinear partial differential equations’, Perugia, Italy, May 28 – June 1, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8736-3/pbk; 978-1-4704-0992-0/ebook). Contemporary Mathematics 594, 115-136 (2013).
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The sharp lower bound for the first positive eigenvalue of the Folland-Stein operator on a closed pseudohermitian $$(2n+1)$$-manifold. (English)Zbl 1272.32033

MSC:  32V05 32V20 53C56
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Compactness estimates for $$\square_{b}$$ on a CR manifold. (English)Zbl 1300.32036

MSC:  32W05 32W10 32T25
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Embeddability for 3-dimensional Cauchy-Riemann manifolds and CR Yamabe invariants. (English)Zbl 1271.32040

Reviewer: Andreas Cap (Wien)
MSC:  32V30 32V20 32V05
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Universal inequalities for eigenvalues of quadratic polynomial operator of the Kohn Laplacian. (English)Zbl 1246.35140

MSC:  35P15 53C17 58C40
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MSC:  35H10
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The $$Q$$-curvature flow in a closed CR 3-manifold. (English)Zbl 1237.53069

Suh, Young Jin (ed.) et al., Proceedings of the 15th international workshop on differential geometry and the 4th KNUGRG-OCAMI differential geometry workshop, Taegu, Korea, November 2–5, 2011. Taegu: National Institute for Mathematical Sciences and Grassmann Research Group. 57-69 (2011).
MSC:  53C44 32V20

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Uniform approximation by $$\square _b$$-harmonic functions. (English)Zbl 1218.32006

MSC:  32E30 30E10
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Fundamental solutions of Kohn sub-Laplacians on anisotropic Heisenberg groups and H-type groups. (English)Zbl 1213.22007

MSC:  22E30 35R03 43A80
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Embedding compact strongly pseudoconvex CR manifolds of class $$C^{3,\alpha}$$. (English)Zbl 1218.32018

MSC:  32V30 32V20
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Inequalities of eigenvalues for bi-Kohn Laplacian on Heisenberg group. (English)Zbl 1224.35302

MSC:  35P15 58J50
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Geometric analysis on a family of pseudoconvex hypersurfaces. (English)Zbl 1227.35011

Lee, Yng-Ing (ed.) et al., Recent advances in geometric analysis. Proceeding of the international conference on geometric analysis, Taipei, Taiwan, June 18–22, 2007. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-143-8/pbk). Advanced Lectures in Mathematics (ALM) 11, 61-99 (2010).

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The $$\overline{\partial_b}$$-Neumann problem on noncharacteristic domains. (English)Zbl 1187.32029

MSC:  32V10 32W10 35H20
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Local solvability for $$\square_b$$ on degenerate CR manifolds and related systems. (English)Zbl 1200.32023

MSC:  32W10 35A01
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Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds. (English)Zbl 1162.58009

MSC:  58J50 58E11 35P15
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A simplified calculation for the fundamental solution to the heat equation on the Heisenberg group. (English)Zbl 1166.32023

MSC:  32W30 33C45 42C10
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Projections in several complex variables. (Projecteurs en plusieurs variables complexes.) (English)Zbl 1427.32001

Palaiseau: École Polytechnique (Diss.). 79 p. (2008).
MSC:  32A25 32V20
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Maximal $$L^2$$ and pointwise Hölder estimates for $$\square_b$$ on $$CR$$ manifolds of class $$C^2$$. (English)Zbl 1156.32024

MSC:  32W10 32W05 35N15
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The Serre duality theorem for a non-compact weighted CR manifold. (English)Zbl 1219.32018

MSC:  32V20 53C17 58A14
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Vanishing and conservativeness of harmonic forms of a non-compact CR manifold. (English)Zbl 1164.32006

MSC:  32V20 53C17 58A14
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A fourth order curvature flow on a CR 3-manifold. (English)Zbl 1129.53046

MSC:  53C44 32V20
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MSC:  32W10
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The existence of nontrivial weak solutions of a class of $$p$$-Laplacian equations without compactness. (Chinese. English summary)Zbl 1106.35018

MSC:  35J60 35D05

Hearing pseudoconvexity with the Kohn Laplacian. (English)Zbl 1070.32023

Reviewer: Zhiqin Lu (Irvine)
MSC:  32T99
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Results on parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities. (English)Zbl 1078.35056

MSC:  35K60 35K55 35K57 35K65 35D05 35B33 35B45
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Compact Heisenberg manifolds as CR manifolds. (English)Zbl 1067.32025

MSC:  32V15 32V20 43A85
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Payne-Polya-Weinberger type inequalities for eigenvalues of nonelliptic operators. (English)Zbl 1060.35092

MSC:  35P15 35H10 35P20
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Analysis of the Kohn Laplacian on quadratic CR manifolds. (English)Zbl 1043.32021

MSC:  32V20 32W10 35N15
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MSC:  35J70
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MSC:  32V20

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Singular integrals with flag kernels and analysis on quadratic CR manifolds. (English)Zbl 0974.22007

Reviewer: K.Saka (Akita)
MSC:  22E30 43A80 32V20
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A Liouville-type theorem on halfspaces for the Kohn Laplacian. (English)Zbl 0907.31006

Reviewer: N.Jacob (Erlangen)
MSC:  31C05 31B05 35J15
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$$\overline{\partial}_b$$-operators on Cauchy-Riemann manifolds and almost-positivity of pseudodifferential operators. (English)Zbl 0918.47043

Coen, Salvatore (ed.), Seminars of geometry, University of Bologna, Italy, 1996–1997. Bologna: Università degli Studi di Bologna, 169-185 (1998).
MSC:  47G30 32V99

Homogenization by the Heisenberg group. (English)Zbl 0889.35009

Reviewer: D.Huet (Nancy)

Positive solutions for a semilinear equation on the Heisenberg group. (English)Zbl 0863.35036

Reviewer: P.Doktor (Praha)

Global analytic hypoellipticity in the presence of symmetry. (English)Zbl 0841.35027

MSC:  35H10 58J70
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Quasicentral approximate units for the discrete Heisenberg group. (English)Zbl 0842.43009

MSC:  43A80 22E30

A restriction theorem for the Heisenberg group. (English)Zbl 0731.43003

Reviewer: J.Faraut (Paris)
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On Riesz means of eigenfunction expansions for the Kohn-Laplacian. (English)Zbl 0697.35102

MSC:  35P10 35J70 58J50
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