Bilinear multipliers of weighted Wiener amalgam spaces and variable exponent Wiener amalgam spaces

Abstract

Let ω 1 , ω 2 be slowly increasing weight functions, and let ω 3 be any weight function. We say that m(ξ , η) is a bilinear multiplier on R n of type

Bilinear multipliers of small Lebesgue spaces

“…Then by Lemma 2.2, and (2.28) we obtain The following Proposition 2.12 and Proposition 2.13 are proved as in (see [7], [11], [12]).…”

Inverse continuous wavelet transform in weighted variable exponent amalgam spaces

“…Some interesting articles have been published on this subject, but not many. So there are many open problems in this function spaces [5], [21], [26], [30], [22], [28], [3], [7], [2], [6].…”

The Kolmogorov–Riesz theorem and some compactness criterions of bounded subsets in weighted variable exponent amalgam and Sobolev spaces

“…Recently, there have been many interesting and important papers appeared in variable exponent amalgam spaces L r(.) , ℓ s such as Aydin [1], Aydin [3], Aydin and Gurkanli [4], Gurkanli [16], Gurkanli and Aydin [17], Hanche-Olsen and Holden [18], Meskhi and Zaighum [27], Kokilashvili, Meskhi and Zaighum [21] and Kulak and Gurkanli [24]. In 2003, Pandey studied the compactness of bounded subsets in a Wiener amalgam space W (B, Y ) whose local and global components are solid Banach function spaces and satisfy conditions in [29,Definition 5.1].…”