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- W4362723609 abstract "Abstract For and variable exponents and with values in [1, ∞], let the variable exponents be defined by The Riesz–Thorin–type interpolation theorem for variable Lebesgue spaces says that if a linear operator T acts boundedly from the variable Lebesgue space to the variable Lebesgue space for , then where C is an interpolation constant independent of T . We consider two different modulars and generating variable Lebesgue spaces and give upper estimates for the corresponding interpolation constants C max and C sum , which imply that and , as well as, lead to sufficient conditions for and . We also construct an example showing that, in many cases, our upper estimates are sharp and the interpolation constant is greater than one, even if one requires that , are Lipschitz continuous and bounded away from one and infinity (in this case, )." @default.
- W4362723609 created "2023-04-10" @default.
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- W4362723609 date "2023-04-08" @default.
- W4362723609 modified "2023-10-17" @default.
- W4362723609 title "On the interpolation constants for variable Lebesgue spaces" @default.
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- W4362723609 doi "https://doi.org/10.1002/mana.202100549" @default.
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