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On the weighted variable exponent amalgam space W(L-P(X) , L-M(Q))
In , a new family W(L-p(x), L-m(q))of Wiener amalgam spaces was defined and investigated some properties of these spaces, where local component is a variable exponent Lebesgue space L-p(x) (R) and the global component ...
Bilinear multipliers of weighted Wiener amalgam spaces and variable exponent Wiener amalgam spaces
Let ?1, ?2 be slowly increasing weight functions, and let ?3 be any weight function on Rn. Assume that m(? ,?) is a bounded, measurable function on Rn × Rn. We define Bm(f, g)(x) = Rn Rnˆ f(? )gˆ(?)m(? ,?)e2?i?+?,x d? d? ...