H. Aikawa, Boundary Harnack principle and Martin boundary for a uniform domain, Journal of the Mathematical Society of Japan, vol.53, issue.1, pp.119-145, 2001.
DOI : 10.2969/jmsj/05310119

N. Alibaud and C. Imbert, Fractional semi-linear parabolic equations with unbounded data, Transactions of the American Mathematical Society, vol.361, issue.05, pp.361-2527, 2009.
DOI : 10.1090/S0002-9947-08-04758-2

URL : https://hal.archives-ouvertes.fr/hal-00144548

A. Ancona, Principe de Harnack ?? la fronti??re et th??or??me de Fatou pour un op??rateur elliptique dans un domaine lipschitzien, Annales de l???institut Fourier, vol.28, issue.4, pp.169-213, 1978.
DOI : 10.5802/aif.720

L. Brandolese and G. Karch, Far field asymptotics of solutions to convection equation with anomalous diffusion, Journal of Evolution Equations, vol.8, issue.2, pp.307-326, 2008.
DOI : 10.1007/s00028-008-0356-9

URL : https://hal.archives-ouvertes.fr/hal-00204102

K. Bogdan, Representation of ?-harmonic functions in Lipschitz domains, Hiroshima Math. J, vol.29, issue.2, pp.227-243, 1999.

K. Bogdan, T. Byczkowski, T. Kulczycki, M. Ryznar, R. Song et al., Potential analysis of stable processes and its extensions, Lecture Notes in Mathematics, vol.1980, 1980.
DOI : 10.1007/978-3-642-02141-1

URL : https://hal.archives-ouvertes.fr/hal-00469763

K. Bogdan and T. Jakubowski, Estimates of Heat Kernel of Fractional Laplacian Perturbed by Gradient Operators, Communications in Mathematical Physics, vol.16, issue.4, pp.179-198, 2007.
DOI : 10.1007/s00220-006-0178-y

K. Bogdan and T. Jakubowski, Estimates of the Green Function for the Fractional Laplacian Perturbed by Gradient. Potential Anal., DOI10, 2011.

K. Bogdan, T. Kulczycki, and M. Kwa±nicki, Estimates and structure of ?harmonic functions. Probab. Theory Related Fields, pp.345-381, 2008.

K. Bogdan, T. Kulczycki, and A. Nowak, Gradient estimates for harmonic and q-harmonic functions of symmetric stable processes, Illinois J. Math, vol.46, issue.2, pp.541-556, 2002.

K. Borovkov and A. Novikov, On exit times of Levy-driven Ornstein???Uhlenbeck processes, Statistics & Probability Letters, vol.78, issue.12, pp.1517-1525, 2008.
DOI : 10.1016/j.spl.2008.01.017

L. Caarelli, Variational problems for free boundaries for the fractional Laplacian, J. Eur. Math. Soc, vol.12, issue.5, pp.1151-1179, 2010.

Z. Chen and R. Song, Estimates on Green functions and Poisson kernels for symmetric stable processes, Mathematische Annalen, vol.312, issue.3, p.465501, 1998.
DOI : 10.1007/s002080050232

Z. Chen and R. Song, Martin Boundary and Integral Representation for Harmonic Functions of Symmetric Stable Processes, Journal of Functional Analysis, vol.159, issue.1, p.267294, 1998.
DOI : 10.1006/jfan.1998.3304

M. Cranston and Z. Zhao, Conditional transformation of drift formula and potential theory for 1/2?+b(???)????, Communications in Mathematical Physics, vol.116, issue.1
DOI : 10.1007/BF01225375

J. L. Doob, Classical Potential Theory and Its Probabilistic Counterpart, 1984.
DOI : 10.1007/978-1-4612-5208-5

A. Fino and G. Karch, Decay of mass for nonlinear equation with fractional Laplacian, Monatshefte f??r Mathematik, vol.12, issue.4, pp.375-384, 2010.
DOI : 10.1007/s00605-009-0093-3

URL : https://hal.archives-ouvertes.fr/hal-00333433

T. Grzywny and M. Ryznar, Estimates of Green functions for some perturbations of fractional Laplacian, Illinois J. Math, vol.51, issue.4, pp.1409-1438, 2007.

A. Ifra and L. Riahi, Estimates of Green functions and harmonic measures for elliptic operators with singular drift terms, Publicacions Matem??tiques, vol.49, issue.1, pp.159-177, 2005.
DOI : 10.5565/PUBLMAT_49105_07

T. Jakubowski, The estimates for the Green function in Lipschitz domains for the symmetric stable processes, Probab. Math. Statist. Acta Univ. Wratislav. No, vol.22, issue.2, p.419441, 2002.

T. Jakubowski, The estimates of the mean rst exit time from a ball for the ?-stable Ornstein-Uhlenbeck processes. Stochastic Process, Appl, vol.117, issue.10, pp.1540-1560, 2007.

T. Jakubowski, On Harnack inequality for ??-stable Ornstein???Uhlenbeck processes, Mathematische Zeitschrift, vol.246, issue.1???2, pp.609-628, 2008.
DOI : 10.1007/s00209-007-0188-2

D. S. Jerison and C. E. Kenig, Boundary value problems on Lipschitz domains, Studies in partial dierential equations, pp.1-68, 1982.

P. Kim, Relative Fatou's theorem for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mo>???</mml:mo><mml:mi mathvariant="normal">??</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>??</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>-harmonic functions in bounded ??-fat open sets, Journal of Functional Analysis, vol.234, issue.1, pp.70-105, 2006.
DOI : 10.1016/j.jfa.2005.12.001

P. Kim and Y. Lee, Generalized 3G theorem and application to relativistic stable process on non-smooth open sets, Journal of Functional Analysis, vol.246, issue.1, pp.113-143, 2007.
DOI : 10.1016/j.jfa.2007.02.001

P. Kim and R. Song, Two-sided estimates on the density of Brownian motion with singular drift, Illinois J. Math, vol.50, issue.14, pp.635-688, 2006.

P. Kim and R. Song, Boundary Behavior of Harmonic Functions for??Truncated Stable Processes, Journal of Theoretical Probability, vol.168, issue.2, pp.287-321, 2008.
DOI : 10.1007/s10959-008-0145-y

T. Kulczycki, Properties of Green function of symmetric stable processes

T. Luks, Hardy spaces for the Laplacian with lower order perturbations, Studia Mathematica, vol.204, issue.1, pp.39-62, 2011.
DOI : 10.4064/sm204-1-3

K. Michalik and M. Ryznar, Relative Fatou theorem for ?-harmonic functions in Lipschitz domains, Illinois J. Math, vol.48, issue.3, pp.977-998, 2004.

K. Michalik and M. Ryznar, Hardy spaces for ??-harmonic functions in regular domains, Mathematische Zeitschrift, vol.28, issue.4, pp.173-186, 2010.
DOI : 10.1007/s00209-009-0509-8

K. Michalik and K. Samotij, Martin representation for ?-harmonic functions, Probab. Math. Statist. Wratislav. No, vol.20, issue.2246, pp.75-91, 2000.

A. A. Novikov, Martingales and rst-exit times for the Ornstein-Uhlenbeck process with jumps Theory Probab, Appl, vol.48, pp.340-358, 2003.

E. M. Stein, Singular integrals and dierentiability properties of functions, 1970.

E. M. Stein, Boundary behavior of holomorphic functions of several complex variables, 1972.
DOI : 10.1515/9781400871261

K. O. Widman, On the boundary behavior of solutions to a class of elliptic partial differential equations, Arkiv f??r Matematik, vol.6, issue.6, pp.485-533, 1966.
DOI : 10.1007/BF02591926

J. G. Wu, Comparisons of kernel functions boundary Harnack principle and relative Fatou theorem on Lipschitz domains, Annales de l???institut Fourier, vol.28, issue.4, pp.147-167, 1978.
DOI : 10.5802/aif.719