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  1. No Access

    Article

    A restriction theorem for oscillatory integral operator with certain polynomial phase

    We consider the oscillatory integral operator $${T_{\alpha ,m}}f\left( x \right) = {\smallint _{{\mathbb{R}^n}}}{e^i}\left( {x_1^{{\al...

    Shaozhen Xu, Dunyan Yan in Frontiers of Mathematics in China (2017)

  2. Article

    Open Access

    A restriction estimate for a class of oscillatory integral operators along paraboloid

    In this paper we establish a restriction estimate for a class of oscillatory integral operators along a paraboloid, ...

    Shaozhen Xu, Wenjuan Li in Journal of Inequalities and Applications (2019)

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  3. No Access

    Article

    Sharp Lp Decay Estimates for Degenerate and Singular Oscillatory Integral Operators

    In this paper, we consider a model of degenerate and singular oscillatory integral operators in which the phase functions are homogeneous polynomials of degree n and the singular kernel K(x, y) satisfies suitable...

    Shaozhen Xu in Frontiers of Mathematics (2023)

  4. No Access

    Article

    Some new decay estimates for \((2+1)\) -dimensional degenerate oscillatory integral operators

    In this paper, we consider the \((2+1)\) ( 2 +

    Yuxin Tan, Shaozhen Xu in Archiv der Mathematik (2024)