Reading List

H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, Universitext, Springer, New York, 2011
L.C. Evans and R.F. Gariepy, Measure Theory and Fine Properties of Functions, CRC Press, Boca Raton, FL, 1992
E.H. Lieband M. Loss, Analysis, 2nd Edition, Graduate Studies in Mathematics, American Mathematical Society, 2001
E.M. Stein and R. Shakarchi, Real Analysis. Measure Theory, Integration and Hilbert Spaces, Princeton Lectures in Analysis, III. Princeton University Press, Princeton, NJ, 2005