Unbounded harmonic functions on homogeneous manifolds of negative curvature

Richard Penney; Roman Urban

doi:10.4064/cm91-1-8

Unbounded harmonic functions on homogeneous manifolds of negative curvature

Colloquium Mathematicum ◽

10.4064/cm91-1-8 ◽

2002 ◽

Vol 91 (1) ◽

pp. 99-121 ◽

Cited By ~ 1

Author(s):

Richard Penney ◽

Roman Urban

Keyword(s):

Harmonic Functions ◽

Negative Curvature ◽

Homogeneous Manifolds

Download Full-text

Positive Harmonic Functions on Complete Manifolds of Negative Curvature

Annals of Mathematics ◽

10.2307/1971181 ◽

1985 ◽

Vol 121 (2) ◽

pp. 429 ◽

Cited By ~ 108

Author(s):

Michael T. Anderson ◽

Richard Schoen

Keyword(s):

Harmonic Functions ◽

Negative Curvature ◽

Complete Manifolds ◽

Positive Harmonic Functions

Download Full-text

Harmonic functions on manifolds of negative curvature

Mathematical Notes ◽

10.1007/bf01158350 ◽

1986 ◽

Vol 40 (6) ◽

pp. 915-917 ◽

Cited By ~ 1

Author(s):

A. G. Losev

Keyword(s):

Harmonic Functions ◽

Negative Curvature

Download Full-text

Homogeneous manifolds with negative curvature. I

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1976-0394507-4 ◽

1976 ◽

Vol 215 ◽

pp. 323-323 ◽

Cited By ~ 31

Author(s):

Robert Azencott ◽

Edward N. Wilson

Keyword(s):

Negative Curvature ◽

Homogeneous Manifolds

Download Full-text

Fundamental solutions of differential operators on homogeneous manifolds of negative curvature and related Riesz transforms

Colloquium Mathematicum ◽

10.4064/cm-73-2-229-249 ◽

1997 ◽

Vol 73 (2) ◽

pp. 229-249 ◽

Cited By ~ 1

Author(s):

Ewa Damek

Keyword(s):

Negative Curvature ◽

Differential Operators ◽

Fundamental Solutions ◽

Riesz Transforms ◽

Homogeneous Manifolds

Download Full-text

Positive Harmonic Functions on Complete Manifolds with Non-Negative Curvature Outside a Compact Set

Annals of Mathematics ◽

10.2307/1971292 ◽

1987 ◽

Vol 125 (1) ◽

pp. 171 ◽

Cited By ~ 25

Author(s):

Peter Li ◽

Luen-Fai Tam

Keyword(s):

Harmonic Functions ◽

Negative Curvature ◽

Compact Set ◽

Complete Manifolds ◽

Positive Harmonic Functions

Download Full-text

Brownian Motion and Harmonic Functions on Manifolds of Negative Curvature

Theory of Probability and Its Applications ◽

10.1137/1121006 ◽

1976 ◽

Vol 21 (1) ◽

pp. 81-95 ◽

Cited By ~ 16

Author(s):

Yu. I. Kifer

Keyword(s):

Brownian Motion ◽

Harmonic Functions ◽

Negative Curvature

Download Full-text

Estimates for derivatives of the Poisson kernels on homogeneous manifolds of negative curvature

Mathematische Zeitschrift ◽

10.1007/s002090100397 ◽

2002 ◽

Vol 240 (4) ◽

pp. 745-766 ◽

Cited By ~ 3

Author(s):

Roman Urban

Keyword(s):

Negative Curvature ◽

Homogeneous Manifolds ◽

Poisson Kernels ◽

Derivatives Of

Download Full-text

Noncoercive differential operators on homogeneous manifolds of negative curvature and their Green functions

Colloquium Mathematicum ◽

10.4064/cm88-1-9 ◽

2001 ◽

Vol 88 (1) ◽

pp. 121-134

Author(s):

Roman Urban

Keyword(s):

Negative Curvature ◽

Differential Operators ◽

Green Functions ◽

Homogeneous Manifolds

Download Full-text

Homogeneous manifolds with negative curvature. II

Memoirs of the American Mathematical Society ◽

10.1090/memo/0178 ◽

1976 ◽

Vol 8 (178) ◽

pp. 0-0 ◽

Cited By ~ 9

Author(s):

Robert Azencott ◽

Edward N. Wilson

Keyword(s):

Negative Curvature ◽

Homogeneous Manifolds

Download Full-text

Liouville theorem for bounded harmonic functions on manifolds and graphs satisfying non-negative curvature dimension condition

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-019-1485-4 ◽

2019 ◽

Vol 58 (2) ◽

Cited By ~ 1

Author(s):

Bobo Hua

Keyword(s):

Harmonic Functions ◽

Negative Curvature ◽

Liouville Theorem ◽

Bounded Harmonic Functions

Download Full-text