Bilinear multipliers on Lorentz 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.
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Francisco Villarroya (2008)
Czechoslovak Mathematical Journal
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.
Chin-Cheng Lin, Ying-Chieh Lin, Heping Liu, Yu Liu (2011)
Studia Mathematica
Let L = -Δ + V be a Schrödinger operator in and be the Hardy type space associated to L. We investigate the bilinear operators T⁺ and T¯ defined by , where T₁ and T₂ are Calderón-Zygmund operators related to L. Under some general conditions, we prove that either T⁺ or T¯ is bounded from to for 1 < p,q < ∞ with 1/p + 1/q = 1. Several examples satisfying these conditions are given. We also give a counterexample for which the classical Hardy space estimate fails.
John E. Gilbert, Andrea R. Nahmod (2001)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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