Removability of exceptional sets for differentiable and Lipschitz functions

Function Spaces in Analysis - Contemporary Mathematics ◽

10.1090/conm/645/12938 ◽

2015 ◽

pp. 63-67

Author(s):

J. Craig ◽

J. Feinstein ◽

P. Patrick

Keyword(s):

Lipschitz Functions ◽

Exceptional Sets

Download Full-text

Boundary Growth Rates and Exceptional Sets for Superharmonic Functions on the Real Hyperbolic Ball

Journal of Geometric Analysis ◽

10.1007/s12220-021-00657-6 ◽

2021 ◽

Author(s):

Kentaro Hirata

Keyword(s):

Growth Rates ◽

The Real ◽

Exceptional Sets ◽

Superharmonic Functions

Download Full-text

On Intermediate Differentiability of Lipschitz Functions on Certain Banach Spaces

Proceedings of the American Mathematical Society ◽

10.2307/2048609 ◽

1991 ◽

Vol 113 (3) ◽

pp. 733 ◽

Author(s):

M. Fabian ◽

D. Preiss

Keyword(s):

Banach Spaces ◽

Lipschitz Functions

Download Full-text

On the exceptional sets concerning the leading partial quotient in continued fractions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125110 ◽

2021 ◽

Vol 500 (1) ◽

pp. 125110

Author(s):

Mengjie Zhang ◽

Chao Ma

Keyword(s):

Continued Fractions ◽

Partial Quotient ◽

Exceptional Sets

Download Full-text

Some inequalities for the multilinear singular integrals with Lipschitz functions on weighted Morrey spaces

Journal of Inequalities and Applications ◽

10.1186/s13660-020-02406-9 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Ferit Gürbüz

Keyword(s):

Singular Integrals ◽

Morrey Spaces ◽

Lipschitz Functions ◽

Weighted Morrey Spaces ◽

Multilinear Singular Integrals

Download Full-text

Lipschitz functions

Sets of Finite Perimeter and Geometric Variational Problems ◽

10.1017/cbo9781139108133.010 ◽

2012 ◽

pp. 68-75

Author(s):

Francesco Maggi

Keyword(s):

Lipschitz Functions

Download Full-text

On two simple decompositions of Lipschitz functions

Optimization ◽

10.1080/02331930701779880 ◽

2008 ◽

Vol 57 (2) ◽

pp. 249-261 ◽

Author(s):

S. Zlobec

Keyword(s):

Lipschitz Functions

Download Full-text

Hausdorff dimension of exceptional sets

Approximation by Algebraic Numbers ◽

10.1017/cbo9780511542886.006 ◽

2004 ◽

pp. 90-121

Keyword(s):

Hausdorff Dimension ◽

Exceptional Sets

Download Full-text

Corrigendum: Pointwise Lipschitz functions on metric spaces [J. Math. Anal. Appl. 363 (2010) 525–548]

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124331 ◽

2020 ◽

Vol 490 (2) ◽

pp. 124331

Author(s):

Estibalitz Durand-Cartagena ◽

Jesús A. Jaramillo

Keyword(s):

Metric Spaces ◽

Lipschitz Functions

Download Full-text

ON EXCEPTIONAL SETS ON THE BOUNDARY AND THE UNIQUENESS OF SOLUTIONS OF THE DIRICHLET PROBLEM FOR A SECOND ORDER ELLIPTIC EQUATION

Mathematics of the USSR-Sbornik ◽

10.1070/sm1981v039n01abeh001475 ◽

1981 ◽

Vol 39 (1) ◽

pp. 107-123 ◽

Author(s):

S V Gaĭdenko

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Uniqueness Of Solutions ◽

Exceptional Sets ◽

Second Order Elliptic Equation

Download Full-text

ON EXCEPTIONAL SETS: THE SOLUTION OF A PROBLEM POSED BY K. MAHLER

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972716000216 ◽

2016 ◽

Vol 94 (1) ◽

pp. 15-19 ◽

Author(s):

DIEGO MARQUES ◽

JOSIMAR RAMIREZ

Keyword(s):

Entire Functions ◽

Complex Conjugation ◽

Exceptional Set ◽

Exceptional Sets ◽

Transcendental Numbers ◽

Lecture Notes ◽

Transcendental Entire Functions

In this paper, we shall prove that any subset of $\overline{\mathbb{Q}}$, which is closed under complex conjugation, is the exceptional set of uncountably many transcendental entire functions with rational coefficients. This solves an old question proposed by Mahler [Lectures on Transcendental Numbers, Lecture Notes in Mathematics, 546 (Springer, Berlin, 1976)].

Download Full-text