Annales Academiae Scientiarum Fennicae-Mathematica最新文献_第5页

A note on quasisymmetric homeomorphisms 关于拟对称同胚的注解

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2020-01-01 DOI: 10.5186/aasfm.2020.4502

Shuan Tang, Pengcheng Wu

引用次数: 1

Small discs containing conjugate algebraic integers 包含共轭代数整数的小圆盘

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2020-01-01 DOI: 10.5186/aasfm.2020.4524

A. Dubickas

{"title":"Small discs containing conjugate algebraic integers","authors":"A. Dubickas","doi":"10.5186/aasfm.2020.4524","DOIUrl":"https://doi.org/10.5186/aasfm.2020.4524","url":null,"abstract":"is called the transfinite diameter (or logarithmic capacity) of E. It is known that a (closed or open) disc with radius R has transfinite diameter R, whereas an interval of lenght I has transfinite diameter I/4. In [7], Fekete has shown that every compact set E satisfying τ(E) < 1 contains only finitely many full sets of conjugate algebraic integers over Q. In particular, this result can be applied to every closed disc whose radius is smaller than 1 and to every real interval whose length is smaller than 4. In the opposite direction, Fekete and Szegö [8] proved that if E is a compact set which is stable under complex conjugation and satisfies τ(E) ≥ 1, then its every complex neighborhood F (so that E ⊂ F and F is an open set) contains infinitely many sets of conjugate algebraic integers. Furthermore, by the results of Robinson [15] and Ennola [4], every real interval of length strictly greater than 4 also contains infinitely many sets of conjugate algebraic integers. In [18], Zaïmi gave a lower bound for the length of a real interval containing an algebraic integer of degree d and its conjugates. His result asserts that the length I of such an interval should be at least 4 − φ(d), where φ(d) is some explicit positive function which tends to zero as d → ∞. (For instance, one can take φ(d) = (c log d)/d with some c > 0. Similar bound also follows from an earlier result of Schur [17].) On the other hand, the author has shown that, for infinitely many d ∈ N, every real interval of length 4+4(log log d)/ log d contains an algebraic integer of degree d and its conjugates (see [2] and [3]). It is not known whether there is an interval [t, t+ 4] with some t ∈ RZ containing infinitely many full sets of algebraic integers. For t ∈ Z, one can simply take infinitely many algebraic integers of the form t+2 cos(πr)+2, where r ∈ Q. By Kronecker’s theorem [13], these are the only such numbers in [t, t+4] if t ∈ Z.","PeriodicalId":50787,"journal":{"name":"Annales Academiae Scientiarum Fennicae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77079898","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

Absolute logics 绝对的逻辑

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2020-01-01 DOI: 10.5186/aasfmd.1995.100

Jyrki Akkanen

引用次数: 1

Local uniqueness of multi-peak solutions to a class of Kirchhoff equations 一类Kirchhoff方程多峰解的局部唯一性

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2020-01-01 DOI: 10.5186/aasfm.2020.4503

Gongbao Li, Yahui Niu, Chang-Lin Xiang

引用次数: 2

Weighted local Morrey spaces 加权局部Morrey空间

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2020-01-01 DOI: 10.5186/aasfm.2020.4504

Shohei Nakamura, Y. Sawano, Hitoshi Tanaka

引用次数: 10

Real-variable characterizations of Musielak–Orlicz Hardy spaces on spaces of homogeneous type 齐次型空间上Musielak-Orlicz Hardy空间的实变量刻画

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2020-01-01 DOI: 10.5186/aasfm.2020.4519

Xing Fu, T. Ma, Dachun Yang

{"title":"Real-variable characterizations of Musielak–Orlicz Hardy spaces on spaces of homogeneous type","authors":"Xing Fu, T. Ma, Dachun Yang","doi":"10.5186/aasfm.2020.4519","DOIUrl":"https://doi.org/10.5186/aasfm.2020.4519","url":null,"abstract":"Let (X , d, μ) be a space of homogeneous type in the sense of Coifman and Weiss. In this article, the authors establish a complete real-variable theory of Musielak–Orlicz Hardy spaces on (X , d, μ). To be precise, the authors first introduce the atomic Musielak–Orlicz Hardy space H at (X ) and then establish its various maximal function characterizations. The authors also investigate the Littlewood–Paley characterizations of H at (X ) via Lusin area functions, Littlewood– Paley g-functions and Littlewood–Paley g∗ λ-functions. The authors further obtain the finite atomic characterization of H at (X ) and its improved version in case q < ∞, and their applications to criteria of the boundedness of sublinear operators from H at (X ) to a quasi-Banach space, which are also applied to the boundedness of Calderón–Zygmund operators. Moreover, the authors find the dual space of H at (X ), namely, the Musielak–Orlicz BMO space BMO(X ), present its several equivalent characterizations, and apply it to establish a new characterization of the set of pointwise multipliers for the space BMO(X ). The main novelty of this article is that, throughout the article, except the last section, μ is not assumed to satisfy the reverse doubling condition.","PeriodicalId":50787,"journal":{"name":"Annales Academiae Scientiarum Fennicae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81307098","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: 22

On mappings whose inverses satisfy the Poletsky inequality 在其逆满足波列茨基不等式的映射上

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2020-01-01 DOI: 10.5186/aasfm.2020.4520

E. Sevost’yanov, S. Skvortsov

引用次数: 33

Boundary growth of Sobolev functions for double phase functionals 双相泛函Sobolev函数的边界增长

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2020-01-01 DOI: 10.5186/aasfm.2020.4510

Y. Mizuta, T. Shimomura

引用次数: 5

A second look of Sobolev spaces on metrizable groups 可度量群上Sobolev空间的二次考察

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2020-01-01 DOI: 10.5186/aasfm.2020.4507

P. Górka, Tomasz Kostrzewa

引用次数: 4

Higher integrability of minimizers of degenerate functionals in Carnot–Carathéodory spaces 退化泛函在carnot - carathacimodory空间中的高可积性

IF 0.9 4区数学

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2020-01-01 DOI: 10.5186/aasfm.2020.4509

Patrizia Di Gironimo, F. Giannetti

引用次数: 4