A Note on Noneffective Weights in Variable Lebesgue Spaces
Copyright policy )A Note on Noneffective Weights in Variable Lebesgue Spaces
We study noneffective weights in the framework of variable exponent Lebesgue spaces, and we show thatLp(⋅)(Ω)=Lωp(⋅)(Ω)if and only ifω(x)1/p(x)~constantin the set wherep(⋅)<∞, andω(x)~constantin the set wherep(⋅)=∞.
- National Research Council Italy
- National Academy of Sciences of Ukraine Ukraine
- Academy of Science of the Czech Republic Czech Republic
- Institute of Mathematics Ukraine
- Academy of Sciences of the Czech Republic Czech Republic
Musielak-Orlicz spaces, noneffective weights, variable exponent Lebesgue spaces, variable exponent Lebesgue spaces, QA1-939, variable Lebesque space, non-effective weights, noneffective weights, Mathematics, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Musielak-Orlicz spaces, noneffective weights, variable exponent Lebesgue spaces, variable exponent Lebesgue spaces, QA1-939, variable Lebesque space, non-effective weights, noneffective weights, Mathematics, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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