Journal of the
Korean Mathematical Society JKMS

The analogues of Marcinkiewicz multiplier theorem and Littlewood-Paley theorem are proved for $p$-Faber series in weighted Smirnov spaces defined on bounded and unbounded components of a rectifiable Jordan curve.

Keywords: Carleson curve, $p$-Faber polynomials, Muckenhoupt weight, weighted Smirnov space

MSC numbers: 42A45, 30E10, 41E10