Oscillating Multipliers for some Eigenfunction Expansions.
Oscillatory and Fourier integral operators with degenerate canonical relations.
We survey results concerning the L2 boundedness of oscillatory and Fourier integral operators and discuss applications. The article does not intend to give a broad overview; it mainly focuses on topics related to the work of the authors.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].
Oscillatory Integrals and Atoms on the Unit sphere.
Oscillatory integrals and multiplier problem for the disc
Oscillatory integrals associated to folding canonical relations
Oscillatory integrals with polynomial phases.
Oscillatory kernels in certain Hardy-type spaces
We consider a convolution operator Tf = p.v. Ω ⁎ f with , where K(x) is an (n,β) kernel near the origin and an (α,β), α ≥ n, kernel away from the origin; h(x) is a real-valued function on . We give a criterion for such an operator to be bounded from the space into itself.
Oscillatory singular integrals on weighted Hardy spaces
Let , where P is a real polynomial on ℝ. It is proved that T is bounded on the weighted H¹(wdx) space with w ∈ A₁.
Outer measures and weak type estimates of Hardy-Littlewood maximal operators.