Hardy inequality in variable exponent Lebesgue spaces

By Lars Diening, S. Samko. 2007

112 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/4c058a69f98ebf4ec2b2e51760f78db1e02c86f1

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Citations in the corpus

• FUNCTION SPACES WITH VARIABLE EXPONENTS – AN INTRODUCTION – (2014, methodology): “Samko [44] proved that any convolution operator on R with the kernel admitting the estimate |k(x)| ≤ c(1 + |x|)−ν when ν is sufficiently large, say, ν > n ( 1 − 1 p(∞) + 1 q(∞) ) , is bounded in Lp(·)(Rn) without local log-condition on p(·), only under the decay log-condition at infinity.”
• The maximal operator on weighted variable Lebesgue spaces (2011, background): “(Variable power weights arise naturally when considering the Hardy operator and its variants; see, for instance, [13].”