Weighted inequalities for Fourier multiplier operators of Bochner–Riesz type on R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathbb{R} ^2$$\end{document}

We consider Fourier multipliers in R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathbb{R} ^2$$\end{document} with singularities on certain curves, which are closely related to the Bochner–Riesz Fourier multipliers. We prove weighted inequalities and vector valued inequalities for the Fourier multiplier operators which generalize some known results.