D. Adams and L. , Hedberg, Function spaces and potential theory, 1996.
DOI : 10.1007/978-3-662-03282-4

A. Beurling and J. Deny, DIRICHLET SPACES, Proc. Nat. Acad. Sci. USA, pp.208-215, 1959.
DOI : 10.1073/pnas.45.2.208
URL : http://doi.org/10.1073/pnas.45.2.208

L. Carleson, Selected Problems on Exceptional sets, Van Nostrand Mathematical Studies, issue.13

R. Chacón, Carleson measures on Dirichlet-type spaces, Proc. Amer, pp.1605-1615, 2011.
DOI : 10.1090/S0002-9939-2011-10823-2

H. I. Bahajji, K. El-fallah, and . Kellay, Havin-Mazya uniqueness theorem for Dirichlet space. Submitted. https

O. El-fallah, Y. Elmadani, and K. Kellay, Cyclicity and invariant subspaces in Dirichlet spaces, Journal of Functional Analysis, vol.270, issue.9, pp.3262-3279, 2016.
DOI : 10.1016/j.jfa.2016.02.027
URL : https://hal.archives-ouvertes.fr/hal-01084268

O. El-fallah, K. Kellay, J. Mashreghi, and T. Ransford, A primer on the Dirichlet space. Cambridge Tracts in Mathematics, 2014.

O. El-fallah, K. Kellay, and T. Ransford, On the Brown???Shields conjecture for cyclicity in the Dirichlet space, Advances in Mathematics, vol.222, issue.6, pp.2196-2214, 2009.
DOI : 10.1016/j.aim.2009.07.011
URL : https://hal.archives-ouvertes.fr/hal-00324955

M. Fukushima, Y. Oshima, and M. Takeda, Dirichlet Forms and Symmetric Markov Processes, extended edition, de Gruyter Stud, Math, vol.19, 2011.
DOI : 10.1515/9783110218091

D. Guillot, Fine Boundary Behavior and Invariant Subspaces of Harmonically Weighted Dirichlet Spaces, Complex Analysis and Operator Theory, vol.125, issue.7, pp.1211-1230, 2012.
DOI : 10.1090/S0002-9947-1994-1145733-9

N. Meyers, A Theory of Capacities for Potentials of Functions in Lebesgue Classes., MATHEMATICA SCANDINAVICA, vol.26, pp.255-292, 1970.
DOI : 10.7146/math.scand.a-10981

S. Richter, A representation theorem for cyclic analytic two-isometries, Trans. Am, Math. Soc, vol.328, pp.1-26, 1994.
DOI : 10.2307/2001885
URL : http://www.ams.org/tran/1991-328-01/S0002-9947-1991-1013337-1/S0002-9947-1991-1013337-1.pdf

S. Richter, Invariant subspaces of the Dirichlet shift, J. Reine Angew. Math, vol.386, pp.205-220, 1988.

S. Richter and C. Sundberg, A formula for the local Dirichlet integral, Michigan Math, J, vol.38, pp.355-379, 1991.

S. Shimorin, Complete Nevanlinna???Pick Property of Dirichlet-Type Spaces, Journal of Functional Analysis, vol.191, issue.2, pp.276-296, 2002.
DOI : 10.1006/jfan.2001.3871
URL : https://doi.org/10.1006/jfan.2001.3871

O. El-fallah, &. Y. Elmadani, L. Mohammed, V. University-of-rabat, and B. P. , 1014 Rabat, Morocco E-mail address: elfallah@fsr.ac.ma, elmadanima@gmail.com K. Kellay