Theorems establish properties of the Marcinkiewicz multiplier and Smirnov-Orlicz classes within finite Jordan domains.
Let $G~$be finite Jordan domain bounded a Dini smooth curve Γ ~in the complex plane. Marcinkiewicz multiplierand Littlewood-Paley type theorems in Smirnov-Orlicz classes, defined in domain G, are proved.
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S.Z. Jafarov (2025) studied this question.
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