On multipliers in weighted spaces (Q1813415)

Sufficient conditions for boundedness of multiplier operators in weighted spaces have been recently studied by several mathematicians. The author in the present paper examines conditions under which a multiplier operator from \(L_ p(\mathbb{R}^ n)\) with weight \(| x|^ \alpha\) into \(L_ p(\mathbb{R}^ n)\) with weight \(| x|^ \beta\) is continuous, where \(\alpha\geq\beta\).