On restrictions of multipliers in weighted settings

DOI10.1512/iumj.2003.52.2368zbMath1080.43005OpenAlexW1999174349MaRDI QIDQ3372174

T. Alastair Gillespie, Earl Berkson

Publication date: 20 February 2006

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2003.52.2368

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15)

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Re: Positive resolution of Rubio de Francia's Littlewood-Paley conjecture for arbitrary disjoint intervals in the context of \(A_1\)-weighted \(L^2\) ⋮ An extrapolation theorem in non-Euclidean geometries and its application to partial differential equations ⋮ Transference and restriction of Fourier multipliers on Orlicz spaces ⋮ EXPONENTIAL APPROXIMATION OF FUNCTIONS IN LEBESGUE SPACES WITH MUCKENHOUPT WEIGHT ⋮ On restriction of maximal multipliers in weighted settings ⋮ Bilinear forms on potential spaces in the unit circle ⋮ Gadjieva's conjecture, K -functionals, and some applications in weighted Lebesgue spaces ⋮ On transference of multipliers on matrix weighted \(L_p\)-spaces ⋮ Restriction and extension of Fourier multipliers between weighted 𝐿^{𝑝} spaces on ℝⁿ and 𝕋ⁿ ⋮ Periodization, transference of Muckenhoupt weights, and automatic tight norm estimates for the periodic Hilbert transform ⋮ Jackson type inequalities for differentiable functions in weighted Orlicz spaces

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