Weighted norm inequalities for the maximal operator on variable Lebesgue spaces

By Sfo David Cruz-Uribe, Alberto Fiorenza, C. Neugebauer. 2012

128 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/65528ed8014d7e3f906951acb8ddba30c316b01a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Dachun Yang
2. Yoshihiro Sawano
3. E. Nakai
4. Wen Yuan
5. Ciqiang Zhuo
6. Mitsuo Izuki
7. P. Hasto
8. D. Cruz-Uribe

In Mathematical Physics

1. Dachun Yang
2. Yoshihiro Sawano
3. Mitsuo Izuki
4. E. Nakai
5. P. Hasto
6. Wen Yuan
7. Ciqiang Zhuo
8. Kwok-Pun Ho

Citations in the corpus

• FUNCTION SPACES WITH VARIABLE EXPONENTS – AN INTRODUCTION – (2014, background): “1 Muckenhoupt weights with variable exponents The classical Muckenhoupt Ap class has been generalized to the setting Ap(·) of variable exponents by [21, 29, 41] and some equivalent conditions to the boundedness of M on L w (R) has been given (see also [24, 86]).”
• Commutators of multilinear Calderón-Zygmund operators with kernels of Dini's type and applications (2019, unknown): “( [4]) A locally integrable function v with 0 < v < ∞ almost everywhere is called a weight.”
• The maximal operator on weighted variable Lebesgue spaces (2011, background): “Another approach in terms of weights as measures was developed independently in [6].”
• Extrapolation and weighted norm inequalities in the variable Lebesgue spaces (2014, background): “The proof of (2.3), as well as the part of the converse that w ∈ A p ( · ) , is in [16].”