On some questions related to the maximal operator on variable $L^p$ spaces

By Andrei K. Lerner. 2010

47 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/8967c873c27fc9a6d92ece6e7c8e4595d140d20b

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In Applied Mathematics

1. Yong Jiao
2. Dejian Zhou
3. Kwok-Pun Ho
4. Zhiwei Hao
5. Wei Chen
6. Dachun Yang
7. Wen Yuan
8. Marcin Bownik

In Computational Theory and Mathematics

1. Kwok-Pun Ho
2. Dejian Zhou
3. Yong Jiao

Citations in the corpus

• Martingale Hardy spaces with variable exponents (2014, background): “entially the optimal condition when the maximal operator is bounded on variable exponent Lebesgue spaces defined on Euclidean spaces (even in the doubling metric measure spaces; see [12]). We refer to [18] for more questions related to the maximal operator in variable Lp(·). Although variable exponen”
• The maximal operator on weighted variable Lebesgue spaces (2011, unknown): “If p ∈ P(Rn) is constant outside a large ball and satisfies 1 ∈ Ap(·), then φp(·) ∈ A as was shown in [29] (see also [31]).”
• ATOMIC DECOMPOSITION OF HARDY-MORREY SPACES WITH VARIABLE EXPONENTS (2015, background): “One of the important results in the variable exponent analysis is the identification of the class of exponent functions for which the Hardy–Littlewood maximal function is bounded on the corresponding Lebesgue spaces with variable exponent [10, 11, 13, 15, 16, 36, 38, 39, 47, 48, 49].”