A note on fractional integral operators on Herz spaces with variable exponent

oleh: Meng Qu, Jie Wang

Format: Article
Diterbitkan: SpringerOpen 2016-01-01

Deskripsi

Abstract In this note, we prove that the fractional integral operators from Herz spaces with variable exponent K ˙ p ( ⋅ ) , q α $\dot{K}^{\alpha}_{p(\cdot), q}$ to Lipschitz-type spaces are bounded provided p ( ⋅ ) $p(\cdot)$ is locally log-Hölder continuous and log-Hölder continuous at infinity.