Notes on bilinear multipliers on Orlicz spaces
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AbstractLet and Φ3 be Young functions and let , and be the corresponding Orlicz spaces. We say that a function defined on is a bilinear multiplier of type if defines a bounded bilinear operator from to . We denote by the space of all bilinear multipliers of type and investigate some properties of such a class. Under some conditions on the triple we give some examples of bilinear multipliers of type . We will focus on the case and get necessary conditions on to get non‐trivial multipliers in this class. In particular we recover some of the known results for Lebesgue spaces.
- Beykent University Turkey
- University of Valencia Spain
bilinear multipliers, Mathematics - Functional Analysis, FOS: Mathematics, Orlicz spaces, Function spaces arising in harmonic analysis, Multipliers for harmonic analysis in several variables, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA)
bilinear multipliers, Mathematics - Functional Analysis, FOS: Mathematics, Orlicz spaces, Function spaces arising in harmonic analysis, Multipliers for harmonic analysis in several variables, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA)
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