Pulse Journal Club Trending Explore Questions Researchers

Download the App

Join discussions, follow papers, and never miss your next session.

© Synapse Social LLC, 2026Privacy Policy

Home Explore Journal Club Trending

⌘+K

The Dual of Kawazoe's Atomic Hardy Space H1p,0 | Synapse

March 29, 2026Open Access

The Dual of Kawazoe's Atomic Hardy Space H1p,0

Key Points

The aim is to determine the dual of Kawazoe's atomic Hardy space within the context of semisimple Lie groups.
Analysis of conditions similar to Goldberg's local bmo-space.
Examination of translates of functions in the Hardy space.
The dual consists of functions meeting specific translation conditions.
Identified relationships between duals of K-invariant and K-bi-invariant spaces.

Abstract

The purpose of this paper is to determine the dual of Kawazoe's atomic Hardy space for semisimple Lie groups.The conclusion is that it consists of functions, whose translates satisfy conditions which are similar to the conditions for Goldberg's Euclidean local bmo -space.We will also find the duals of the corresponding K -invariant and K -bi-invariant spaces.

Mark Helpful

Bookmark

Relay

View Full Paper

Mark Helpful

Bookmark

Relay

View Full Paper

Cite This Study

A. Nilsson (Tue,) studied this question.

synapsesocial.com/papers/69c8c195de0f0f753b39bdde https://doi.org/https://doi.org/10.5802/jolt.488

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Local Hardy spaces associated with ball quasi-Banach function spaces and their dual spaces2024
2An atomic representation for bicomplex Hardy classes2025 · 1 citations
3The generic dual of p-adic groups and applications2024
4Hardy spaces and Riesz transforms on a Lie group of exponential growth2024
5Hardy Spaces on Homogeneous Groups and Littlewood-Paley Functions2020