We consider Fourier multipliers in \( \mathbb{R} ^2\) 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.

中文翻译：

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$$ \mathbb{R} ^2$$ 上 Bochner–Riesz 型傅里叶乘法算子的加权不等式

我们考虑\( \mathbb{R} ^2\)中的傅里叶乘子在某些曲线上具有奇点，这与 Bochner-Riesz 傅里叶乘子密切相关。我们证明了傅立叶乘法算子的加权不等式和向量值不等式，它们概括了一些已知的结果。