Some Remarks on the Mikhlin–Hörmander and Marcinkiewicz Multiplier Theorems: A Short Historical Account and a Recent Improvement
Abstract We present a short historical overview of the Mikhlin–Hörmander and Marcinkiewicz multiplier theorems. We discuss different versions of them and provide comparisons. We also present a recent improvement of the Marcinkiewicz multiplier theorem in the two-dimensional case.
Gespeichert in:
| Autor*in: |
Grafakos, Loukas [verfasserIn] |
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Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Anmerkung: |
© Mathematica Josephina, Inc. 2021 |
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| Übergeordnetes Werk: |
Enthalten in: The journal of geometric analysis - Springer US, 1991, 31(2021), 7 vom: 13. Jan., Seite 6987-7007 |
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| Übergeordnetes Werk: |
volume:31 ; year:2021 ; number:7 ; day:13 ; month:01 ; pages:6987-7007 |
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10.1007/s12220-020-00588-8 |
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10.1007/s12220-020-00588-8 doi (DE-627)OLC2126764559 (DE-He213)s12220-020-00588-8-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Grafakos, Loukas verfasserin (orcid)0000-0001-7094-9201 aut Some Remarks on the Mikhlin–Hörmander and Marcinkiewicz Multiplier Theorems: A Short Historical Account and a Recent Improvement 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Mathematica Josephina, Inc. 2021 Abstract We present a short historical overview of the Mikhlin–Hörmander and Marcinkiewicz multiplier theorems. We discuss different versions of them and provide comparisons. We also present a recent improvement of the Marcinkiewicz multiplier theorem in the two-dimensional case. Fourier multipliers Multiplier theorems Mikhlin-Hörmander theorem Marcinkiewicz multiplier theorem Interpolation Enthalten in The journal of geometric analysis Springer US, 1991 31(2021), 7 vom: 13. Jan., Seite 6987-7007 (DE-627)131006398 (DE-600)1086949-9 (DE-576)028039211 1050-6926 nnns volume:31 year:2021 number:7 day:13 month:01 pages:6987-7007 https://doi.org/10.1007/s12220-020-00588-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2409 AR 31 2021 7 13 01 6987-7007 |
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Abstract We present a short historical overview of the Mikhlin–Hörmander and Marcinkiewicz multiplier theorems. We discuss different versions of them and provide comparisons. We also present a recent improvement of the Marcinkiewicz multiplier theorem in the two-dimensional case. © Mathematica Josephina, Inc. 2021 |
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We discuss different versions of them and provide comparisons. We also present a recent improvement of the Marcinkiewicz multiplier theorem in the two-dimensional case.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fourier multipliers</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Multiplier theorems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mikhlin-Hörmander theorem</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Marcinkiewicz multiplier theorem</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Interpolation</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">The journal of geometric analysis</subfield><subfield code="d">Springer US, 1991</subfield><subfield code="g">31(2021), 7 vom: 13. 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