Zero modes and Dirac-(logarithmic) Sobolev-type inequalities
Zero modes and Dirac-(logarithmic) Sobolev-type inequalities
We study the decay rate of the zero modes of the Dirac operator with a matrix-valued potential that is considered here without any regularity assumptions, compared to the existing literature. For the Dirac operator and for Clifford-valued functions we prove the $L^p$-$L^2$ Dirac Sobolev inequality with explicit constant, as well …