scholarly journals Realization and characterization of modulus of smoothness in weighted Lebesgue spaces

2015 ◽  
Vol 26 (5) ◽  
pp. 741-756 ◽  
Author(s):  
R. Akgün
1998 ◽  
Vol 5 (6) ◽  
pp. 583-600
Author(s):  
Y. Rakotondratsimba

Abstract We give a characterization of the weights 𝑢(·) and 𝑣(·) for which the fractional maximal operator 𝑀𝑠 is bounded from the weighted Lebesgue spaces 𝐿𝑝(𝑙𝑟, 𝑣𝑑𝑥) into 𝐿𝑞(𝑙𝑟, 𝑢𝑑𝑥) whenever 0 ≤ 𝑠 < 𝑛, 1 < 𝑝, 𝑟 < ∞, and 1 ≤ 𝑞 < ∞.


2020 ◽  
Vol 198 ◽  
pp. 111930
Author(s):  
Mitsuo Izuki ◽  
Toru Nogayama ◽  
Takahiro Noi ◽  
Yoshihiro Sawano

2020 ◽  
pp. 1-31
Author(s):  
Weichao Guo ◽  
Huoxiong Wu ◽  
Dongyong Yang

Abstract A new characterization of $\text {CMO}(\mathbb R^n)$ is established replying upon local mean oscillations. Some characterizations of iterated compact commutators on weighted Lebesgue spaces are given, which are new even in the unweighted setting for the first order commutators.


2019 ◽  
Vol 487 (5) ◽  
pp. 496-498
Author(s):  
V. D. Stepanov ◽  
G. E. Shambilova

A characterization of n-dimensional bilinear Hardy inequalities in weighted Lebesgue spaces is given.


2011 ◽  
Vol 55 (1) ◽  
pp. 79-104 ◽  
Author(s):  
Ana L. Bernardis ◽  
Amiran Gogatishvili ◽  
Francisco Javier Martín-Reyes ◽  
Pedro Ortega Salvador ◽  
Luboš Pick

AbstractWe introduce the one-sided local maximal operator and study its connection to the one-sided Ap conditions. We get a new characterization of the boundedness of the one-sided maximal operator on a quasi-Banach function space. We obtain applications to weighted Lebesgue spaces and variable-exponent Lebesgue spaces.


2013 ◽  
Vol 56 (1) ◽  
pp. 1-17
Author(s):  
Keiichi Kato ◽  
Masaharu Kobayashi ◽  
Shingo Ito

2012 ◽  
Vol 364 (3) ◽  
pp. 1163-1177 ◽  
Author(s):  
Daewon Chung ◽  
M. Cristina Pereyra ◽  
Carlos Perez

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