scholarly journals Boundedness and Compactness of Commutators Associated with Lipschitz Functions

2021 ◽  
Author(s):  
Weichao Guo ◽  
Jianxun He ◽  
Huoxiong Wu ◽  
Dongyong Yang
Keyword(s):  
Lipschitz Functions

On two simple decompositions of Lipschitz functions

Optimization ◽  
2008 ◽  
Vol 57 (2) ◽  
pp. 249-261 ◽  
Author(s):  
S. Zlobec
Keyword(s):  
Lipschitz Functions

Fourier-Bessel Dini Lipschitz functions in the space $$L_{\alpha ,n}^{2}$$ L α , n 2

2017 ◽  
Vol 28 (7-8) ◽  
pp. 1157-1165 ◽  
Author(s):  
S. El Ouadih ◽  
R. Daher
Keyword(s):  
Lipschitz Functions

scholarly journals Characterisation of upper gradients on the weighted Euclidean space and applications

2021 ◽  
Author(s):  
Danka Lučić ◽  
Enrico Pasqualetto ◽  
Tapio Rajala
Keyword(s):  
Euclidean Space ◽  
Sobolev Space ◽  
Radon Measure ◽  
Lipschitz Functions ◽  
Euclidean Spaces ◽  
Upper Gradient

AbstractIn the context of Euclidean spaces equipped with an arbitrary Radon measure, we prove the equivalence among several different notions of Sobolev space present in the literature and we characterise the minimal weak upper gradient of all Lipschitz functions.

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