Modulation invariant bilinear T(1) theorem
We prove a T(1) theorem for bilinear singular integral operators (trilinear forms) with a one-dimensional modulation symmetry.
math.CA↗
arXiv subjects
Francisco Villarroya
Publications and source records attributed to Francisco Villarroya.
Bilinear multipliers on Lorenzt spaces
We give one sufficient and two necessary conditions for boundedness between Lebesgue or Lorentz spaces of several classes of bilinear multiplier operators closely connected with the bilinear Hilbert transform.
math.CA↗
Transference of bilinear multiplier operators on Lorentz spaces
We prove a DeLeeuw type theorem of transference of boundedness for modulation invariant multiplier operators between the groups defined by the real line and the torus.
math.CA↗
Sharp estimates for maximal operators associated to the wave equation
We give almost sharp conditions under which the maximal operator associated with the wave equation with initial data in Sobolev space H^s(R^n) is bounded from H^s(R^n) to L^q(R^n).
math.CA↗