A non probabilistic proof of the relative Fatou theorem

Annales de l’institut Fourier ◽

10.5802/aif.93 ◽

1959 ◽

Vol 9 ◽

pp. 293-300 ◽

Author(s):

J. L. Doob

Keyword(s):

Fatou Theorem ◽

Probabilistic Proof ◽

Relative Fatou Theorem

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Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation

10.1007/s11117-012-0220-6 ◽

2013 ◽

Vol 17 (4) ◽

pp. 1043-1070 ◽

Author(s):

Piotr Graczyk ◽

Tomasz Jakubowski ◽

Tomasz Luks

Keyword(s):

Fractional Laplacian ◽

Fatou Theorem ◽

Martin Representation ◽

Relative Fatou Theorem

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Relative Fatou theorem for harmonic functions of rotation invariant stable processes in smooth domains

Studia Mathematica ◽

10.4064/sm157-1-7 ◽

2003 ◽

Vol 157 (1) ◽

pp. 83-96 ◽

Author(s):

Krzysztof Bogdan ◽

Bartłomiej Dyda

Keyword(s):

Harmonic Functions ◽

Stable Processes ◽

Rotation Invariant ◽

Fatou Theorem ◽

Relative Fatou Theorem

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Comparisons of kernel functions boundary Harnack principle and relative Fatou theorem on Lipschitz domains

Annales de l’institut Fourier ◽

10.5802/aif.719 ◽

1978 ◽

Vol 28 (4) ◽

pp. 147-167 ◽

Author(s):

Jang-Mei G. Wu

Keyword(s):

Kernel Functions ◽

Lipschitz Domains ◽

Boundary Harnack Principle ◽

Fatou Theorem ◽

Relative Fatou Theorem

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Relative Fatou theorem for {$\alpha$}-harmonic functions in Lipschitz domains

Illinois Journal of Mathematics ◽

10.1215/ijm/1258131065 ◽

2004 ◽

Vol 48 (3) ◽

pp. 977-998 ◽

Author(s):

Krzysztof Michalik ◽

Michał Ryznar

Keyword(s):

Harmonic Functions ◽

Lipschitz Domains ◽

Fatou Theorem ◽

Relative Fatou Theorem

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A Probabilistic Proof of the Spherical Excess Formula

American Mathematical Monthly ◽

10.1080/00029890.2021.1839303 ◽

2021 ◽

Vol 128 (1) ◽

pp. 70-72

Author(s):

Daniel A. Klain

Keyword(s):

Probabilistic Proof

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On the fatou theorem for p-harmonic function

Communications in Partial Differential Equations ◽

10.1080/03605308808820556 ◽

1988 ◽

Vol 13 (6) ◽

pp. 651-668 ◽

Author(s):

Juan J. Manfredi ◽

Allen Weitsman

Keyword(s):

Harmonic Function ◽

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The Epistemic Status of Probabilistic Proof

The Journal of Philosophy ◽

10.2307/2940964 ◽

1997 ◽

Vol 94 (4) ◽

pp. 165 ◽

Author(s):

Don Fallis

Keyword(s):

Epistemic Status ◽

Probabilistic Proof

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Monotonicity of a Power Function: An Elementary Probabilistic Proof

The American Statistician ◽

10.2307/2683050 ◽

1977 ◽

Vol 31 (2) ◽

pp. 91 ◽

Author(s):

David Gilat

Keyword(s):

Power Function ◽

Probabilistic Proof

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Interactive and probabilistic proof-checking

Annals of Pure and Applied Logic ◽

10.1016/s0168-0072(00)00017-8 ◽

2000 ◽

Vol 104 (1-3) ◽

pp. 325-342 ◽

Author(s):

Luca Trevisan

Keyword(s):

Proof Checking ◽

Probabilistic Proof

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A probabilistic proof of the Garnett-Jones theorem on BMO

Pacific Journal of Mathematics ◽

10.2140/pjm.1980.90.201 ◽

1980 ◽

Vol 90 (1) ◽

pp. 201-221 ◽

Author(s):

Nicholas Varopoulos

Keyword(s):

Probabilistic Proof

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