Littlewood-Paley and multiplier theorems on weighted ^{} spaces

摘要: The Littlewood-Paley operator y(f), for functions f defined on RX, is shown to be a bounded certain weighted LP spaces. weights satisfy an AP condition over the class of all n-dimensional rectangles with sides parallel coordinate axes. necessity this demonstrates 1-dimensional nature operator. Results multipliers are derived, including versions Marcinkiewicz Multiplier Theorem and Hormander's Theorem.