Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials-Reference-Cited by-同舟云学术

Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials

Published:2022-05-13 Issue:02 Volume:21 Page:353-383
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

Almeida Víctor¹,Betancor Jorge J.¹,Rodríguez-Mesa Lourdes¹

Affiliation:

1. Departamento de Análisis Matemático, Universidad de La Laguna, Campus de Anchieta, Avda. Astrofísico Sánchez, s/n, 38721 La Laguna (Sta. Cruz de Tenerife), Spain

Abstract

By [Formula: see text] we denote the semigroup of operators generated by the Friedrichs extension of the Schrödinger operator with the inverse square potential [Formula: see text] defined in [Formula: see text]. In this paper, we establish weighted [Formula: see text]-inequalities for the maximal, variation, oscillation and jump operators associated with [Formula: see text], where [Formula: see text] and [Formula: see text] denotes the Weyl fractional derivative. The range of values [Formula: see text] that works is different when [Formula: see text] and when [Formula: see text].

Funder

Spanish Government

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530522500038

Reference43 articles.

1. variation in probability, ergodic theory and analysis

2. Variation and oscillation for harmonic operators in the inverse Gaussian setting

3. New abstract Hardy spaces

4. Pointwise ergodic theorems for arithmetic sets

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