On Rectifiable Curves in the Plane

被引：0

作者：

Shi Pan LU Department of Mathematics

机构：

来源：

Acta Mathematica Sinica,English Series | 2001年 / 17卷 / 02期

关键词：

Rectifiable curve; Hausdorff measure; Hausdorff fractional derivation;

D O I：

暂无

中图分类号：

O186.11 [古典微分几何];

学科分类号：

0701 ; 070101 ;

摘要：

This paper gives a formula of integral for the rectifiable curves in the plane by the Hausdorfffractional derivation and integral.

引用

页码：327 / 332

页数：6

共 50 条

[21] CHARACTERIZATION OF SUBSETS OF RECTIFIABLE CURVES IN R(N)
OKIKIOLU, K
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1992, 46 : 336 - 348
[22] Summability on non-rectifiable Jordan curves
Guseynov, Yevgeniy
GEORGIAN MATHEMATICAL JOURNAL, 2018, 25 (02) : 249 - 258
[23] Functions of limited variation and rectifiable curves.
Schwartz, L
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1941, 212 : 331 - 333
[24] The play operator on the rectifiable curves in a Hilbert space
Recupero, Vincenzo
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2008, 31 (11) : 1283 - 1295
[25] ANALYTIC DISKS WITH RECTIFIABLE SIMPLE CLOSED CURVES AS ENDS
GLOBEVNIK, J
STOUT, EL
ANNALS OF MATHEMATICS, 1988, 127 (02) : 389 - 401
[26] The cauchy-goursat theorem for rectifiable Jordan curves
Walsh, JL
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1933, 19 : 540 - 543
[27] A sharp necessary condition for rectifiable curves in metric spaces
David, Guy C.
Schul, Raanan
REVISTA MATEMATICA IBEROAMERICANA, 2021, 37 (03) : 1007 - 1044
[28] THE CURVATURE OF RECTIFIABLE CURVES AND AN INEQUALITY OF CHAKERIAN-FARY
GUGGENHEIMER, H
ARCHIV DER MATHEMATIK, 1986, 47 (03) : 270 - 273
[29] Removable singularities on rectifiable curves for Hardy spaces of analytic functions
Björn, A
MATHEMATICA SCANDINAVICA, 1998, 83 (01) : 87 - 102
[30] Non-rectifiable minimising curves and general fields of curves admissible in the calculation of variations.
Menger, K
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1936, 202 : 1648 - 1650

← 1 2 3 4 5 →