Weighted Calderón-Hardy spaces
We present the weighted Calderón-Hardy spaces on Euclidean spaces and investigate their properties. As an application we show, for certain power weights, that the iterated Laplace operator is a bijection from these spaces onto classical weighted Hardy spaces. The main tools to achieve our result are...
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2025-07-01
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| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | https://mb.math.cas.cz/full/150/2/mb150_2_2.pdf |
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| _version_ | 1849322350619656192 |
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| author | Pablo Rocha |
| author_facet | Pablo Rocha |
| author_sort | Pablo Rocha |
| collection | DOAJ |
| description | We present the weighted Calderón-Hardy spaces on Euclidean spaces and investigate their properties. As an application we show, for certain power weights, that the iterated Laplace operator is a bijection from these spaces onto classical weighted Hardy spaces. The main tools to achieve our result are an atomic decomposition of weighted Hardy spaces furnished by the author, fundamental solutions of iterated Laplacian and pointwise inequalities for certain maximal functions. |
| format | Article |
| id | doaj-art-e82151ecc13c45458f4f7ca9f1c23ff3 |
| institution | Kabale University |
| issn | 0862-7959 2464-7136 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj-art-e82151ecc13c45458f4f7ca9f1c23ff32025-08-20T03:49:23ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362025-07-01150218720510.21136/MB.2024.0090-23MB.2024.0090-23Weighted Calderón-Hardy spacesPablo RochaWe present the weighted Calderón-Hardy spaces on Euclidean spaces and investigate their properties. As an application we show, for certain power weights, that the iterated Laplace operator is a bijection from these spaces onto classical weighted Hardy spaces. The main tools to achieve our result are an atomic decomposition of weighted Hardy spaces furnished by the author, fundamental solutions of iterated Laplacian and pointwise inequalities for certain maximal functions.https://mb.math.cas.cz/full/150/2/mb150_2_2.pdf weighted calderón-hardy space weighted hardy space atomic decomposition laplace operator |
| spellingShingle | Pablo Rocha Weighted Calderón-Hardy spaces Mathematica Bohemica weighted calderón-hardy space weighted hardy space atomic decomposition laplace operator |
| title | Weighted Calderón-Hardy spaces |
| title_full | Weighted Calderón-Hardy spaces |
| title_fullStr | Weighted Calderón-Hardy spaces |
| title_full_unstemmed | Weighted Calderón-Hardy spaces |
| title_short | Weighted Calderón-Hardy spaces |
| title_sort | weighted calderon hardy spaces |
| topic | weighted calderón-hardy space weighted hardy space atomic decomposition laplace operator |
| url | https://mb.math.cas.cz/full/150/2/mb150_2_2.pdf |
| work_keys_str_mv | AT pablorocha weightedcalderonhardyspaces |