A note on Spanne-type result on grand Morrey spaces

Abstract We prove a Spanne-type result for the fractional integral operator on grand Morrey spaces, where the target space is a double-aggrandized Morrey space, while the source space is just a grand Morrey space. This contrasts with the Adams-type result, where both the source and target spaces belong to the same grand Morrey-type space, albeit with different summability parameters.

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Publication Details

Journal
Georgian Mathematical Journal
Published
2026-05-11
DOI
https://doi.org/10.1515/gmj-2026-3010
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
0.00

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article

A note on Spanne-type result on grand Morrey spaces

Humberto Rafeiro
Georgian Mathematical Journal
Advanced Harmonic Analysis Research
article

A note on Spanne-type result on grand Morrey spaces

Humberto Rafeiro
article en

Abstract

Abstract We prove a Spanne-type result for the fractional integral operator on grand Morrey spaces, where the target space is a double-aggrandized Morrey space, while the source space is just a grand Morrey space. This contrasts with the Adams-type result, where both the source and target spaces belong to the same grand Morrey-type space, albeit with different summability parameters.

Georgian Mathematical Journal
United Arab Emirates University (AE)
United Arab Emirates University
Openalex Percentile: Top 4%
Advanced Harmonic Analysis Research
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