Potential Analysis

An International Journal Devoted to the Interactions between Potential Theory, Probability Theory, Geometry and Functional Analysis

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Showing 1,201-1,250 of 1,733 articles

Space Semi-Discretisations for a Stochastic Wave Equation
Lluís Quer-Sardanyons
Marta Sanz-Solé
OriginalPaper 30 May 2006 Pages: 303 - 332
Regularity of Degenerate Monge–Ampère and Prescribed Gaussian Curvature Equations in Two Dimensions
Eric T. Sawyer
Richard L. Wheeden
OriginalPaper Pages: 267 - 301
Positive Harmonic Functions for Semi-Isotropic Random Walks on Trees, Lamplighter Groups, and DL-Graphs
Sara Brofferio
Wolfgang Woess
OriginalPaper Pages: 245 - 265
Functional Inequalities for Particle Systems on Polish Spaces
Michael Röckner
Feng-Yu Wang
OriginalPaper Pages: 223 - 243
On the Shape of the Ground State Eigenfunction for Stable Processes
Rodrigo Bañuelos
Tadeusz Kulczycki
Pedro J. Méndez-Hernández
OriginalPaper Pages: 205 - 221
Potential Techniques and Regularity of Boundary Value Problems in Exterior Non-Smooth Domains
J. Lang
O. Méndez
Original Paper 28 April 2006 Pages: 385 - 406
Logarithmic Sobolev Inequalities of Diffusions for the \(L^2\) Metric
Mathieu Gourcy
Liming Wu
OriginalPaper 27 April 2006 Pages: 77 - 102
Sharp Weighted Young's Inequalities and Moser–Trudinger Inequalities on Heisenberg Type Groups and Grushin Spaces
Jeremy T. Tyson
OriginalPaper 21 April 2006 Pages: 357 - 384
Intrinsic Ultracontractivity for Schrödinger Operators with Mixed Boundary Conditions
Pedro J. Méndez-Hernández
Kittipat Wong
OriginalPaper 21 April 2006 Pages: 333 - 355
Existence of Tangential Limits for α-Harmonic Functions on Half Spaces
Yoshihiro Mizuta
OriginalPaper 21 April 2006 Pages: 29 - 36
On Lattice Structure of the Space of Pointwise Limits of Harmonic Functions
Jiří Spurný
OriginalPaper Pages: 195 - 203
Convergence of Riemannian Manifolds and Laplace Operators, II
Atsushi Kasue
OriginalPaper Pages: 137 - 194
The Cauchy Problem for Nonlinear Parabolic Equations with Lévy Laplacian
S. Albeverio
Ya. Belopolskaya
M. Feller
OriginalPaper Pages: 125 - 136
Iterated Brownian Motion in Parabola-Shaped Domains
Erkan Nane
OriginalPaper Pages: 105 - 123
Sobolev Space and Dirichlet Space Associated with Symmetric Markov Process on a Local Field
Hiroshi Kaneko
OriginalPaper Pages: 87 - 103
Non-Gaussian Complex Random Fields, their Skeletons and Path Measures
T. Deck
OriginalPaper Pages: 63 - 86
Dimension Free Estimates for Riesz Transforms Associated to the Harmonic Oscillator on \(\mathbb{R}^{n}\)
Françoise Lust-Piquard
OriginalPaper Pages: 47 - 62
A Fully Nonlinear Nonhomogeneous Neumann Problem
Abdelmajid Siai
OriginalPaper Pages: 15 - 45
Multivalued Analytic Continuation of the Cauchy Transform
Lavi Karp
OriginalPaper Pages: 1 - 13
Comparison of Green Functions and Harmonic Measures for Parabolic Operators
Lotfi Riahi
OriginalPaper Pages: 381 - 402
Ratio Limit Theorems for Random Walks and Lévy Processes
Minzhi Zhao
Jiangang Ying
OriginalPaper Pages: 357 - 380
Maximum Sets of Semicontinuous Functions
Piotr Kot
OriginalPaper Pages: 323 - 356
Capacitary Criteria for Poincaré-Type Inequalities
Mu-Fa Chen
OriginalPaper Pages: 303 - 322
On the Poincaré Inequality for Infinitely Divisible Measures
Wilhelm Stannat
OriginalPaper Pages: 279 - 301
A Semigroup Approach to Harmonic Maps
Karl-Theodor Sturm
OriginalPaper Pages: 225 - 277
Comparison of Green Kernels for Elliptic Operators on (0,∞)
A. Ifra
M. Selmi
OriginalPaper Pages: 207 - 224
Lemmes de décomposition appliqués à des inégalités de type Hardy–Sobolev
Fabrice Colin
OriginalPaper 01 September 2005 Pages: 181 - 206
Subharmonic Functions of Order Less than One
Raphaële Supper
OriginalPaper 01 September 2005 Pages: 165 - 179
Subelliptic Sobolev Spaces for Manifolds with Symmetries
K. -H. Fieseler
K. Tintarev
OriginalPaper 01 September 2005 Pages: 153 - 163
Variational Formula for Dirichlet Forms and Estimates of Principal Eigenvalues for Symmetric α-stable Processes
Yuichi Shiozawa
Masayoshi Takeda
OriginalPaper 01 September 2005 Pages: 135 - 151
On Discretization Schemes for Stochastic Evolution Equations
István Gyöngy
Annie Millet
OriginalPaper 01 September 2005 Pages: 99 - 134
Rough Isometry and p-Harmonic Boundaries of Complete Riemannian Manifolds
Yong Hah Lee
OriginalPaper Pages: 83 - 97
A Probabilistic Approach for Nonlinear Equations Involving the Fractional Laplacian and a Singular Operator
Benjamin Jourdain
Sylvie Méléard
Wojbor A. Woyczynski
OriginalPaper Pages: 55 - 81
Exit and Return of a Simple Random Walk
M. van den Berg
OriginalPaper Pages: 45 - 53
Finite Element Methods for Parabolic Stochastic PDE’s
J. B. Walsh
OriginalPaper Pages: 1 - 43
Numerical Approximation for a White Noise Driven SPDE with Locally Bounded Drift
Roger Pettersson
Mikael Signahl
OriginalPaper Pages: 375 - 393
Rearrangement Inequalities with Application to Ratios of Heat Kernels
Cristina Draghici
OriginalPaper Pages: 351 - 374
Degrees of Transience and Recurrence and Hierarchical Random Walks
D. A. Dawson
L. G. Gorostiza
A. Wakolbinger
OriginalPaper Pages: 305 - 350
The Brunn–Minkowski Inequality for the n-dimensional Logarithmic Capacity of Convex Bodies
Andrea Colesanti
Paola Cuoghi
OriginalPaper Pages: 289 - 304
Densities of One-Dimensional Backward SDEs
Fabio Antonelli
Arturo Kohatsu-Higa
OriginalPaper Pages: 263 - 287
Singularly Perturbed Hamiltonians of a Quantum Rayleigh Gas Defined as Quadratic Forms
Gianfausto Dell’Antonio
Domenico Finco
Alessandro Teta
OriginalPaper Pages: 229 - 261
Nonlinear Anisotropic Elliptic and Parabolic Equations in R^N with Advection and Lower Order Terms and Locally Integrable Data
Mostafa Bendahmane
Kenneth H. Karlsen
OriginalPaper Pages: 207 - 227
A Note on Pluripolar Hulls of Graphs of Blaschke Products
WŁodzimierz Zwonek
OriginalPaper Pages: 195 - 206
Polysubharmonic Functions Near Infinity in ℜⁿ
V. Anandam
OriginalPaper Pages: 183 - 194
On the Global Integrability of Non-Negative Harmonic Functions
Khalifa El Mabrouk
OriginalPaper Pages: 171 - 181
A Poisson–Jensen Type Representation Formula for Subharmonic Functions on Stratified Lie Groups
Andrea Bonfiglioli
Chiara Cinti
OriginalPaper Pages: 151 - 169
Harnack’s Inequality for Stable Lévy Processes
Krzysztof Bogdan
PaweŁ Sztonyk
OriginalPaper Pages: 133 - 150
On the Strongly Supermedian Functions and Kernels
Lucian Beznea
Nicu Boboc
OriginalPaper Pages: 127 - 132
Relating the Almost-Sure Lyapunov Exponent of a Parabolic SPDE and its Coefficients’ Spatial Regularity
Samy Tindel
Frederi Viens
OriginalPaper Pages: 101 - 125
Finite Rank Hankel Operators over the Complex Wiener Space
Thomas Deck
OriginalPaper Pages: 85 - 100

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