Extrapolation from A_\fz^ρ,\fz, vector-valued inequalities and applications in the Schrödinger settings

2011/09/01 by Lin Tang, Tang, Lin · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1109.0101

openalex publication_date 2011/09/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper, we generalize the A_\fz extrapolation theorem in \citecmp and the A_p extrapolation theorem of Rubio de Francia to Schrödinger settings. In addition, we also establish the weighted vector-valued inequalities for Schrödinger type maximal operators by using weights belonging to A_p^ρ,\tz which includes A_p. As their applications, we establish the weighted vector-valued inequalities for some Schödinger type operators and pseudo-differential operators.

Citations

• Some Maximal Inequalities

Cited by

• Weighted local Hardy spaces associated to Schrödinger operators

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