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

D. R. Adams, A note on Riesz potentials. Duke Math, J, vol.42, pp.765-778, 1975.
DOI : 10.1215/s0012-7094-75-04265-9

R. M. Blumenthal and R. K. Getoor, Some theorems on stable processes, Transactions of the American Mathematical Society, vol.95, issue.2, pp.263-273, 1960.
DOI : 10.1090/S0002-9947-1960-0119247-6

J. Bourgain and N. Pavlovi´cpavlovi´c, Ill-posedness of the Navier???Stokes equations in a critical space in 3D, Journal of Functional Analysis, vol.255, issue.9, pp.2233-2247, 2008.
DOI : 10.1016/j.jfa.2008.07.008

A. Cheskidov and R. Shvydkoy, Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces, Journal of Mathematical Physics, vol.5, issue.2, 2012.
DOI : 10.1002/mma.1582

R. R. Coifman and G. L. Weiss, Analyse harmonique non-commutative sur certains espaces homogènes. Lecture notes in mathematics, 1971.
DOI : 10.1007/bfb0058946

L. Corrias, B. Perthame, and H. Zaag, Global Solutions of Some Chemotaxis and Angiogenesis Systems in High Space Dimensions, Milan Journal of Mathematics, vol.72, issue.1, pp.1-28, 2004.
DOI : 10.1007/s00032-003-0026-x

C. Fefferman, The uncertainty principle, Bulletin of the American Mathematical Society, vol.9, issue.2, pp.129-206, 1983.
DOI : 10.1090/S0273-0979-1983-15154-6

H. Fujita and T. Kato, On the Navier-Stokes initial value problem. I, Archive for Rational Mechanics and Analysis, vol.128, issue.4, pp.269-315, 1964.
DOI : 10.1017/S0027763000002415

L. Grafakos, Classical harmonic analysis, 2008.

L. Hedberg, On certain convolution inequalities, Proceedings of the American Mathematical Society, vol.36, issue.2, pp.505-510, 1972.
DOI : 10.1090/S0002-9939-1972-0312232-4

T. Iwabuchi, Global well-posedness for Keller???Segel system in Besov type spaces, Journal of Mathematical Analysis and Applications, vol.379, issue.2, pp.930-948, 2011.
DOI : 10.1016/j.jmaa.2011.02.010

N. Kalton and I. Verbitsky, Nonlinear equations and weighted norm inequalities, Transactions of the American Mathematical Society, vol.351, issue.09, pp.3441-3497, 1999.
DOI : 10.1090/S0002-9947-99-02215-1

T. Kato, StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions, Mathematische Zeitschrift, vol.74, issue.4, pp.471-480, 1984.
DOI : 10.1007/BF01174182

H. Koch and D. Tataru, Well-posedness for the Navier???Stokes Equations, Advances in Mathematics, vol.157, issue.1, pp.22-35, 2001.
DOI : 10.1006/aima.2000.1937

H. Kozono and Y. Yamazaki, Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data, Communications in Partial Differential Equations, vol.29, issue.5-6, pp.959-1014, 1994.
DOI : 10.1007/BF02761845

P. G. Lemarié-rieusset, Recent developments in the Navier?Stokes problem, 2002.
DOI : 10.1201/9781420035674

P. G. Lemarié-rieusset, Multipliers and Morrey Spaces, Potential Analysis, vol.20, issue.3, pp.741-752, 2013.
DOI : 10.1007/s11118-011-9239-8

P. G. Lemarié-rieusset, Small data in an optimal Banach space for the parabolic-parabolic and parabolic-elliptic Keller-Segel equations in the whole space, Adv. Differential Equations, vol.18, pp.1189-1208, 2013.

J. L. Lions, Quelques méthodes de résolution desprobì emes aux limites non linéaires. Dunod, 1969.

R. May and E. Zarhouni, Global existence of solutions for subcritical quasi-geostrophic equations, Comm. Pure Appl. Anal, vol.7, pp.1179-1191, 2008.

S. Montgomery-smith, Finite time blow up for a Navier?Stokes like equation, Proc. A.M.S, vol.129, pp.3017-3023, 2001.

G. Samorodnotsky and M. S. Taqqu, Stable Non-Gaussian Random Processes, 1994.

W. Sickel, D. Yang, and W. Yuan, Morrey and Campanato meet Besov, Lizorkin and Triebel, Lecture Notes in Math, 2005.

J. Wu, Dissipative quasi-geostrophic equations with l p data, Electron J. Differential Equations, pp.1-13, 2001.

X. Yu and Z. Zhai, Well-posedness for fractional Navier?Stokes equations in the largest critical spaces