Open AccessPosted Content
Characterization of Lipschitz Functions via Commutators of Multilinear Singular Integral Operators in Variable Lebesgue Spaces
Jianglong Wu,Pu Zhang +1 more
TL;DR: In this article, the boundedness of commutators of multilinear Calderon-Zygmund operators with Lipschitz functions in the context of the variable exponent Lebesgue spaces is investigated.
read more
Abstract: In this paper, the main aim is to consider the boundedness of commutators of multilinear Calderon-Zygmund operators with Lipschitz functions in the context of the variable exponent Lebesgue spaces. Furthermore, the variable versions of the Lipschitz spaces are also discussed, and with the help of a key tool of a pointwise estimate involving the sharp maximal operator of the multilinear fractional commutator and certain associated maximal operators.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Characterization of Lipschitz functions via the commutators of multilinear fractional integral operators in variable Lebesgue spaces
Pu Zhang,Jianglong Wu +1 more
TL;DR: In this article , the authors established new characterizations of the Lipschitz spaces in terms of the boundedness of commutator of multilinear fractional Calderón-Zygmund integral operators in the context of variable exponent Lebesgue spaces.
Boundedness of multilinear commutators of singular integral operators on variable Herz-type spaces
Zouheyr Zeghad,Souheyb Dehimi +1 more
Application and practice optimization of vibratory modes in the teaching of fundamental sight-singing and ear training
Wei Huang,Hong Fang +1 more
TL;DR: This study optimizes vibratory modes for sight-singing and ear training, improving wavelet transform algorithms and student attitudes, with 63.27% of students better understanding vibrational modes, and 70.79% finding them helpful for learning.
References
•Book
Weighted norm inequalities and related topics
José García-Cuerva,J.-L. Rubio de Francia +1 more
- 01 Jan 1985
TL;DR: Theories de la factorisation and inegalites en norme ponderees of Hardy as mentioned in this paper have been studied in the context of factorization, and a variable reelle des espaces de Hardy has been proposed.
2.2K
•Book
Lebesgue and Sobolev Spaces with Variable Exponents
Lars Diening,Petteri Harjulehto,Peter Hästö,Michael Ruzicka +3 more
- 31 Mar 2011
TL;DR: In this paper, a framework for function spaces is presented, which includes variable exponent Lebesgue spaces, the maximal operator, the generalized Muckenhoupt condition, and transfer techniques.
2.2K