Fractional calculus for power functions and eigenvalues of the fractional Laplacian

Barenblatt profiles for a nonlocal porous medium equation

(2011) Piotr Biler et al.   COMPTES RENDUS MATHEMATIQUE

The best constant in a fractional Hardy inequality

(2011) Krzysztof Bogdan et al.   MATHEMATISCHE NACHRICHTEN

Fractional Hardy inequality with a remainder term

(2011) Bartłomiej Dyda   COLLOQUIUM MATHEMATICUM

Spectral properties of the Cauchy process on half-line and interval

(2010) Tadeusz Kulczycki et al.   PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

Eigenvalues of the Cauchy process on an interval have at most double multiplicity

(2009) Mateusz Kwaśnicki   SEMIGROUP FORUM

Non-linear ground state representations and sharp Hardy inequalities

(2008) Rupert L. Frank et al.   JOURNAL OF FUNCTIONAL ANALYSIS