$$L^p$$ maximal estimates for quadratic Weyl sums
Abstract Let $$p \ge 1$$. We give upper and lower bounds for Mp(N):=‖sup0≤t≤1|∑n=1Ne(nx+n2t)|‖Lp[0,1]p$$\begin{aligned} {M}_{p}(N): = \bigg \Vert \mathop {\mathrm{sup}}\limits _{0 \le t \le 1} \bigg | {\sum _{n=1}^N} {e}(nx + n^{2}t)\bigg |\bigg \Vert _{L^{p}[0,1]}^{p} \end{aligned}$$that are of the...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Baker, R. [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Anmerkung: |
© Akadémiai Kiadó, Budapest, Hungary 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mathematica Hungarica - Springer International Publishing, 1983, 165(2021), 2 vom: 03. Sept., Seite 316-325 |
|---|---|
| Übergeordnetes Werk: |
volume:165 ; year:2021 ; number:2 ; day:03 ; month:09 ; pages:316-325 |
| Links: |
|---|
| DOI / URN: |
10.1007/s10474-021-01173-3 |
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OLC2077665033 |
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| 520 | |a Abstract Let $$p \ge 1$$. We give upper and lower bounds for Mp(N):=‖sup0≤t≤1|∑n=1Ne(nx+n2t)|‖Lp[0,1]p$$\begin{aligned} {M}_{p}(N): = \bigg \Vert \mathop {\mathrm{sup}}\limits _{0 \le t \le 1} \bigg | {\sum _{n=1}^N} {e}(nx + n^{2}t)\bigg |\bigg \Vert _{L^{p}[0,1]}^{p} \end{aligned}$$that are of the same order of magnitude. | ||
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10.1007/s10474-021-01173-3 doi (DE-627)OLC2077665033 (DE-He213)s10474-021-01173-3-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Baker, R. verfasserin aut $$L^p$$ maximal estimates for quadratic Weyl sums 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Akadémiai Kiadó, Budapest, Hungary 2021 Abstract Let $$p \ge 1$$. We give upper and lower bounds for Mp(N):=‖sup0≤t≤1|∑n=1Ne(nx+n2t)|‖Lp[0,1]p$$\begin{aligned} {M}_{p}(N): = \bigg \Vert \mathop {\mathrm{sup}}\limits _{0 \le t \le 1} \bigg | {\sum _{n=1}^N} {e}(nx + n^{2}t)\bigg |\bigg \Vert _{L^{p}[0,1]}^{p} \end{aligned}$$that are of the same order of magnitude. Enthalten in Acta mathematica Hungarica Springer International Publishing, 1983 165(2021), 2 vom: 03. Sept., Seite 316-325 (DE-627)130395986 (DE-600)602393-9 (DE-576)015898156 0001-5954 nnns volume:165 year:2021 number:2 day:03 month:09 pages:316-325 https://doi.org/10.1007/s10474-021-01173-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 165 2021 2 03 09 316-325 |
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10.1007/s10474-021-01173-3 doi (DE-627)OLC2077665033 (DE-He213)s10474-021-01173-3-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Baker, R. verfasserin aut $$L^p$$ maximal estimates for quadratic Weyl sums 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Akadémiai Kiadó, Budapest, Hungary 2021 Abstract Let $$p \ge 1$$. We give upper and lower bounds for Mp(N):=‖sup0≤t≤1|∑n=1Ne(nx+n2t)|‖Lp[0,1]p$$\begin{aligned} {M}_{p}(N): = \bigg \Vert \mathop {\mathrm{sup}}\limits _{0 \le t \le 1} \bigg | {\sum _{n=1}^N} {e}(nx + n^{2}t)\bigg |\bigg \Vert _{L^{p}[0,1]}^{p} \end{aligned}$$that are of the same order of magnitude. Enthalten in Acta mathematica Hungarica Springer International Publishing, 1983 165(2021), 2 vom: 03. Sept., Seite 316-325 (DE-627)130395986 (DE-600)602393-9 (DE-576)015898156 0001-5954 nnns volume:165 year:2021 number:2 day:03 month:09 pages:316-325 https://doi.org/10.1007/s10474-021-01173-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 165 2021 2 03 09 316-325 |
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10.1007/s10474-021-01173-3 doi (DE-627)OLC2077665033 (DE-He213)s10474-021-01173-3-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Baker, R. verfasserin aut $$L^p$$ maximal estimates for quadratic Weyl sums 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Akadémiai Kiadó, Budapest, Hungary 2021 Abstract Let $$p \ge 1$$. We give upper and lower bounds for Mp(N):=‖sup0≤t≤1|∑n=1Ne(nx+n2t)|‖Lp[0,1]p$$\begin{aligned} {M}_{p}(N): = \bigg \Vert \mathop {\mathrm{sup}}\limits _{0 \le t \le 1} \bigg | {\sum _{n=1}^N} {e}(nx + n^{2}t)\bigg |\bigg \Vert _{L^{p}[0,1]}^{p} \end{aligned}$$that are of the same order of magnitude. Enthalten in Acta mathematica Hungarica Springer International Publishing, 1983 165(2021), 2 vom: 03. Sept., Seite 316-325 (DE-627)130395986 (DE-600)602393-9 (DE-576)015898156 0001-5954 nnns volume:165 year:2021 number:2 day:03 month:09 pages:316-325 https://doi.org/10.1007/s10474-021-01173-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 165 2021 2 03 09 316-325 |
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$$l^p$$ maximal estimates for quadratic weyl sums |
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$$L^p$$ maximal estimates for quadratic Weyl sums |
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Abstract Let $$p \ge 1$$. We give upper and lower bounds for Mp(N):=‖sup0≤t≤1|∑n=1Ne(nx+n2t)|‖Lp[0,1]p$$\begin{aligned} {M}_{p}(N): = \bigg \Vert \mathop {\mathrm{sup}}\limits _{0 \le t \le 1} \bigg | {\sum _{n=1}^N} {e}(nx + n^{2}t)\bigg |\bigg \Vert _{L^{p}[0,1]}^{p} \end{aligned}$$that are of the same order of magnitude. © Akadémiai Kiadó, Budapest, Hungary 2021 |
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Abstract Let $$p \ge 1$$. We give upper and lower bounds for Mp(N):=‖sup0≤t≤1|∑n=1Ne(nx+n2t)|‖Lp[0,1]p$$\begin{aligned} {M}_{p}(N): = \bigg \Vert \mathop {\mathrm{sup}}\limits _{0 \le t \le 1} \bigg | {\sum _{n=1}^N} {e}(nx + n^{2}t)\bigg |\bigg \Vert _{L^{p}[0,1]}^{p} \end{aligned}$$that are of the same order of magnitude. © Akadémiai Kiadó, Budapest, Hungary 2021 |
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Abstract Let $$p \ge 1$$. We give upper and lower bounds for Mp(N):=‖sup0≤t≤1|∑n=1Ne(nx+n2t)|‖Lp[0,1]p$$\begin{aligned} {M}_{p}(N): = \bigg \Vert \mathop {\mathrm{sup}}\limits _{0 \le t \le 1} \bigg | {\sum _{n=1}^N} {e}(nx + n^{2}t)\bigg |\bigg \Vert _{L^{p}[0,1]}^{p} \end{aligned}$$that are of the same order of magnitude. © Akadémiai Kiadó, Budapest, Hungary 2021 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2077665033</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230505184932.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">221220s2021 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10474-021-01173-3</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2077665033</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10474-021-01173-3-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Baker, R.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">$$L^p$$ maximal estimates for quadratic Weyl sums</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Akadémiai Kiadó, Budapest, Hungary 2021</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Let $$p \ge 1$$. We give upper and lower bounds for Mp(N):=‖sup0≤t≤1|∑n=1Ne(nx+n2t)|‖Lp[0,1]p$$\begin{aligned} {M}_{p}(N): = \bigg \Vert \mathop {\mathrm{sup}}\limits _{0 \le t \le 1} \bigg | {\sum _{n=1}^N} {e}(nx + n^{2}t)\bigg |\bigg \Vert _{L^{p}[0,1]}^{p} \end{aligned}$$that are of the same order of magnitude.</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Acta mathematica Hungarica</subfield><subfield code="d">Springer International Publishing, 1983</subfield><subfield code="g">165(2021), 2 vom: 03. Sept., Seite 316-325</subfield><subfield code="w">(DE-627)130395986</subfield><subfield code="w">(DE-600)602393-9</subfield><subfield code="w">(DE-576)015898156</subfield><subfield code="x">0001-5954</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:165</subfield><subfield code="g">year:2021</subfield><subfield code="g">number:2</subfield><subfield code="g">day:03</subfield><subfield code="g">month:09</subfield><subfield code="g">pages:316-325</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s10474-021-01173-3</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">165</subfield><subfield code="j">2021</subfield><subfield code="e">2</subfield><subfield code="b">03</subfield><subfield code="c">09</subfield><subfield code="h">316-325</subfield></datafield></record></collection>
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