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math.AP2015★ 1 cited
Boundedness of rough Bi-parameter Fourier Integral Operators
Qing Hong, Guozhen Lu, Lu Zhang
In this paper, we will investigate the boundedness of the bi-parameter Fourier integral operators (or FIOs for short) of the following form: $$T(f)(x)=\frac{1}{(2π)^{2n}}\int_{\mat…
math.AP2015★ 11 cited
Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities
Nguyen Lam, Guozhen Lu, Lu Zhang
Sharp Trudinger-Moser inequalities on the first order Sobolev spaces and their analogous Adams inequalities on high order Sobolev spaces play an important role in geometric analysi…