Displaying similar documents to “Global maximal estimates for solutions to the Schrödinger equation”

Unique continuation for Schrödinger operators with potential in Morrey spaces.

Alberto Ruiz, Luis Vega (1991)

Publicacions Matemàtiques

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Let us consider in a domain Ω of Rn solutions of the differential inequality |Δu(x)| ≤ V(x)|u(x)|, x ∈ Ω, where V is a non smooth, positive potential. We are interested in global unique continuation properties. That means that u must be identically zero on Ω if it vanishes on an open subset of Ω.

Variants of the Calderón-Zygmund theory for L-spaces.

Anthony Carbery (1986)

Revista Matemática Iberoamericana

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The purposes of this paper may be described as follows: (i) to provide a useful substitute for the Cotlar-Stein lemma for Lp-spaces (the orthogonality conditions are replaced by certain fairly weak smoothness asumptions); (ii) to investigate the gap between the Hörmander multiplier theorem and the Littman-McCarthy-Rivière example - just how little regularity is really needed? (iii) to simplify and extend the work of Duoandikoetxea...

Note on semigroups generated by positive Rockland operators on graded homogeneous groups

Jacek Dziubański, Waldemar Hebisch, Jacek Zienkiewicz (1994)

Studia Mathematica

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Let L be a positive Rockland operator of homogeneous degree d on a graded homogeneous group G and let p t be the convolution kernels of the semigroup generated by L. We prove that if τ(x) is a Riemannian distance of x from the unit element, then there are constants c>0 and C such that | p 1 ( x ) | ≤ C e x p ( - c τ ( x ) d / ( d - 1 ) ) . Moreover, if G is not stratified, more precise estimates of p 1 at infinity are given.

Equivalence of norms in one-sided Hp spaces.

Liliana de Rosa, Carlos Segovia (2002)

Collectanea Mathematica

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One-sided versions of maximal functions for suitable defined distributions are considered. Weighted norm equivalences of these maximal functions for weights in the Sawyer's Aq+ classes are obtained.

L-bounds for spherical maximal operators on Z.

Akos Magyar (1997)

Revista Matemática Iberoamericana

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We prove analogue statements of the spherical maximal theorem of E. M. Stein, for the lattice points Z. We decompose the discrete spherical measures as an integral of Gaussian kernels s(x) = e. By using Minkowski's integral inequality it is enough to prove L-bounds for the corresponding convolution operators. The proof is then based on L-estimates by analysing the Fourier transforms ^s(ξ), which can be handled by making use of the circle method for exponential sums. As a corollary one...