$H^{p}$ spaces associated with Schrödinger operators with potentials from reverse Hölder classes

• Autorzy: Jacek Dziubański , Jacek Zienkiewicz
• Języki publikacji: EN

Abstrakty

EN

Let A = -Δ + V be a Schrödinger operator on $ℝ^{d}$, d ≥ 3, where V is a nonnegative potential satisfying the reverse Hölder inequality with an exponent q > d/2. We say that f is an element of $H^{p}_{A}$ if the maximal function $sup_{t>0} |T_{t}f(x)|$ belongs to $L^{p}(ℝ^{d})$, where ${T_{t}}_{t>0}$ is the semigroup generated by -A. It is proved that for d/(d+1) < p ≤ 1 the space $H^{p}_{A}$ admits a special atomic decomposition.

Kategorie tematyczne

• 35J10: Schr\"odinger operator
• 47D03: Groups and semigroups of linear operators
• 42B25: Maximal functions, Littlewood-Paley theory
• 42B30: H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 98
• Numer: 1
• Strony: 5-38

Daty

wydano

2003

Twórcy

autor

Jacek Dziubański

• Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

Jacek Zienkiewicz

• Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm98-1-2