Imaginary powers of Laplace operators

75 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

COMPARISON OF THE CLASSICAL BMO WITH THE BMO SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS (2006, background): “2 is a minor modification of the proof of estimates (17) of [27].”
Scattering theory for nonlinear Schrödinger equations with inverse-square potential (2013, methodology): “7) For a ≥ 0, since the heat kernel e−tPa satisfies the Gaussian upper bounds, we can follow D’Ancona-Fanelli-Vega-Visciglia’s [10] argument, which are in spirt of Sikora-Wright [32] proving the boundedness of imaginary power operators and Stein-Weiss complex interpolation theorem.”
Sobolev spaces adapted to the Schrödinger operator with inverse-square potential (2015, background): “ the deep and diﬃcult problem of ﬁnding minimal regularity Ho¨rmander-type conditions under which multiplier operators are bounded. The argument we give to verify Theorem 1.1 is strongly inﬂuenced by [2, 9, 23]. The argument only requires bounds on a concrete number of derivates of the multiplier (s”
Plancherel Type Estimates and Sharp Spectral Multipliers (2002, background): “For example it is proved in [50] that if m = 2, then (8.”
Endpoint Strichartz estimates for the magnetic Schrodinger equation (2009, methodology): “This follows easily from the previous heat kernel bound and the techniques of Sikora and Wright (see [28]):”