Algebras of functions with Fourier coefficients in weighted Orlicz sequence spaces

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dc.creatorKarlovich, Alexei Yu.
dc.date2003-05-07
dc.date.accessioned2026-07-07T04:57:50Z
dc.date.available2026-07-07T04:57:50Z
dc.descriptionWe prove that the set of all integrable functions whose sequences of negative (resp. nonnegative) Fourier coefficients belong to $\ell^1\cap\ell^Φ_{ϕ,w}$ (resp. to $\ell^1\cap\ell^Ψ_{ψ,\varrho}$), where $\ell^Φ_{ϕ,w}$ and $\ell^Ψ_{ψ,\varrho}$ are two-weighted Orlicz sequence spaces, forms an algebra under pointwise multiplication whenever the weight sequences \[ ϕ=\{ϕ_n\},\quad ψ=\{ψ_n\},\quad w=\{w_n\},\quad \varrho=\{\varrho_n\} \] increase and satisfy the $Δ_2$-condition.
dc.identifierhttps://arxiv.org/abs/math/0305109
dc.identifierhttp://arxiv.org/abs/math/0305109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67399
dc.subjectFunctional Analysis
dc.subject46J10; 46B45
dc.titleAlgebras of functions with Fourier coefficients in weighted Orlicz sequence spaces
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