The (weak-l2) Boundedness of the Quadratic Carleson Operator
نویسنده
چکیده
We prove that the generalized Carleson operator with polynomial phase function of degree two is of weak type (2,2). For this, we introduce a new approach to the time-frequency analysis of the quadratic phase.
منابع مشابه
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is the most fundamental example. Much like in the classical case of the Lebesgue di erentiation theorem, pointwise convergence almost everywhere of the inverse Fourier transform to f ∈ Lp (R) can be reduced to Lp bounds for the maximal operator C. Weak type L2 bounds were rst obtained by Lennart Carleson in 1966 [8], thus providing a surprising a rmative solution to the question of pointwise co...
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