$L^p \to L^{p'}$ estimates for time-dependent Schrödinger operators

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Ü Estimates for Time - Dependent Schrödinger Operators

It is well known that the local decay estimates (2) are useful in studying nonlinear Schrödinger equations (see [8, §XI.13], [11]). On the other hand little seems to be known when one replaces the free operator HQ by more general Hamiltonians (4) H = -A + V(x), even when the potential V is in C^°(R). Obviously, one has to assume that H has no bound states for an estimate like (2) to it M hold f...

متن کامل

Estimates in Lp for Magnetic Schrödinger Operators

We study the magnetic Schrödinger operator H(a,V ) in R, n ≥ 3. The L (1 < p < ∞) and weak-type (1,1) estimates are obtained under certain conditions, given in terms of the reverse Hölder inequality, on the magnetic field B = curl a and the electrical potential V . In particular, we show that the L and weak-type (1,1) estimates hold if the components of a are polynomials, and V is a nonnegative...

متن کامل

Lp Estimates for Marcinkiewicz integral operators and extrapolation

*Correspondence: [email protected] Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan Abstract In this article, we establish Lp estimates for parametric Marcinkiewicz integral operators with rough kernels. These estimates and extrapolation arguments improve and extend some known results on Marcinkiewicz integrals. MSC: Primary 40B20; secondary 4...

متن کامل

Lp Spectral Independence of Elliptic Operators via Commutator Estimates

Let fT p : q 1 p q 2 g be a family of consistent C 0 semigroups on L p ((), with q 1 ; q 2 2 1; 1) and R n open. We show that certain commutator conditions on T p and on the resolvent of its generator A p ensure the p independence of the spectrum of A p for p 2 q 1 ; q 2 ]. Applications include the case of Petrovskij correct systems with HH older continuous coeecients, Schrr odinger operators, ...

متن کامل

Weighted norm estimates and Lp-spectral independence of linear operators

We investigate the Lp-spectrum of linear operators defined consistently on Lp(Ω) for p0 ≤ p ≤ p1, where (Ω, μ) is an arbitrary σ-finite measure space and 1 ≤ p0 < p1 ≤ ∞. We prove p-independence of the Lp-spectrum assuming weighted norm estimates. The assumptions are formulated in terms of a measurable semi-metric d on (Ω, μ); the balls with respect to this semi-metric are required to satisfy a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1990

ISSN: 0273-0979

DOI: 10.1090/s0273-0979-1990-15967-1