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Tokyo Journal of Mathematics最新文献

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Predual of Weak Orlicz Spaces and its Applications to Fefferman-Stein Vector-valued Maximal Inequality 弱Orlicz空间的预偶及其在Fefferman-Stein向量值极大不等式上的应用
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.3836/tjm/1502179373
N. Hatano, Ryota Kawasumi, Takahiro Ono
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引用次数: 0
Base Change Theorems for Log Analytic Spaces 对数分析空间的基变定理
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.3836/tjm/1502179376
Chikara Nakayama
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引用次数: 1
A Note on Equivalence Classes of SO0(p,q)-actions on Sp+q−1 whose Restricted SO(p)×SO(q)-action is the Standard Action 关于限制SO（p）×SO（q）-作用为标准作用的Sp+q−1上SO0（p，q）-动作等价类的一个注记
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.3836/tjm/1502179370
T. Ono
{"title":"A Note on Equivalence Classes of SO0(p,q)-actions on Sp+q−1 whose Restricted SO(p)×SO(q)-action is the Standard Action","authors":"T. Ono","doi":"10.3836/tjm/1502179370","DOIUrl":"https://doi.org/10.3836/tjm/1502179370","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42676081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Preduals of Sobolev Multiplier Spaces for End Point Cases 端点情况下Sobolev乘子空间的预公数
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.3836/tjm/1502179383
Keng Hao Ooi
{"title":"Preduals of Sobolev Multiplier Spaces for End Point Cases","authors":"Keng Hao Ooi","doi":"10.3836/tjm/1502179383","DOIUrl":"https://doi.org/10.3836/tjm/1502179383","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43223187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Anisotropic Sobolev Spaces with Weights 具有权重的各向异性Sobolev空间
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2021-12-03 DOI: 10.3836/tjm/1502179386
G. Metafune, L. Negro, C. Spina
{"title":"Anisotropic Sobolev Spaces with Weights","authors":"G. Metafune, L. Negro, C. Spina","doi":"10.3836/tjm/1502179386","DOIUrl":"https://doi.org/10.3836/tjm/1502179386","url":null,"abstract":"We study Sobolev spaces with weights in the half-space $mathbb{R}^{N+1}_+={(x,y): x in mathbb{R}^N, y>0}$, adapted to the singular elliptic operators begin{equation*} mathcal L =y^{alpha_1}Delta_{x} +y^{alpha_2}left(D_{yy}+frac{c}{y}D_y -frac{b}{y^2}right). end{equation*}","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46056074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
A Generalization of Bauer's Identical Congruence 鲍尔同余的一个推广
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2021-09-01 DOI: 10.3836/tjm/1502179350
Boaz Cohen
{"title":"A Generalization of Bauer's Identical Congruence","authors":"Boaz Cohen","doi":"10.3836/tjm/1502179350","DOIUrl":"https://doi.org/10.3836/tjm/1502179350","url":null,"abstract":"In this paper we generalize Bauer's Identical Congruence appearing in Hardy and Wright's book [6], Theorems 126 and 127. Bauer's Identical Congruence asserts that the polynomial $prod_t(x-t)$, where the product runs over a reduced residue system modulo a prime power $p^a$, is congruent (mod $p^a$) to the “simple” polynomial $(x^{p-1}-1)^{p^{a-1}}$ if $p>2$ and $(x^2-1)^{2^{a-2}}$ if $p=2$ and $ageqslant2$. Our article generalizes these results to a broader context, in which we find a “simple” form of the polynomial $prod_t(x-t)$, where the product runs over the solutions of the congruence $t^nequiv 1pmod{mathrm{P}^a}$ in the framework of the ring of algebraic integers of a given number field $mathbb{K}$, and where $mathrm{P}$ is a prime ideal.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45384480","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Structure of Generalized Polarized Manifolds with Relatively Small Second Class 具有相对小二阶的广义极化流形的结构
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2021-09-01 DOI: 10.3836/tjm/1502179348
A. Lanteri, A. L. Tironi
{"title":"On the Structure of Generalized Polarized Manifolds with Relatively Small Second Class","authors":"A. Lanteri, A. L. Tironi","doi":"10.3836/tjm/1502179348","DOIUrl":"https://doi.org/10.3836/tjm/1502179348","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70165819","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Motive of Codimension 2 Linear Sections of $mathrm{Gr}(3,6)$ $ mathm {Gr}(3,6)$的余维2线性截面的动机
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2021-09-01 DOI: 10.3836/tjm/1502179351
R. Laterveer
{"title":"On the Motive of Codimension 2 Linear Sections of $mathrm{Gr}(3,6)$","authors":"R. Laterveer","doi":"10.3836/tjm/1502179351","DOIUrl":"https://doi.org/10.3836/tjm/1502179351","url":null,"abstract":"We consider Fano sevenfolds $Y$ obtained by intersecting the Grassmannian $mathrm{Gr}(3,6)$ with a codimension 2 linear subspace (with respect to the Pl\"ucker embedding). We prove that the motive of $Y$ is Kimura finite-dimensional. We also prove the generalized Hodge conjecture for all powers of $Y$.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41746515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Results on Invariant Measures for $1$-dimensional Maps 关于$1$维映射不变测度的一些结果
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2021-09-01 DOI: 10.3836/tjm/1502179353
F. Schweiger
{"title":"Some Results on Invariant Measures for $1$-dimensional Maps","authors":"F. Schweiger","doi":"10.3836/tjm/1502179353","DOIUrl":"https://doi.org/10.3836/tjm/1502179353","url":null,"abstract":"For many fibred systems the existence of an invariant measure can be proved but considerably less is known about the shape of the density. In this note various examples of invariant densities are discussed: Piecewise fractional linear maps with four branches and maps which are associated to continued fractions with increasing digits. There are ergodic maps with a non-integrable density which do not have an indifferent fixed point and maps such that the set of points which miss the digit $k=1$ has positive Lebesgue measure.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46292721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Diophantine Equation $X^3=u+v$ over Real Quadratic Fields, II 实二次域上的丢番图方程$X^3=u+v$， II
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2021-08-01 DOI: 10.3836/tjm/1502179345
T. Kagawa
{"title":"The Diophantine Equation $X^3=u+v$ over Real Quadratic Fields, II","authors":"T. Kagawa","doi":"10.3836/tjm/1502179345","DOIUrl":"https://doi.org/10.3836/tjm/1502179345","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43019663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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