2017
Том 69
№ 9

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Interpolation of operators of weak type $(ϕ_0, ψ_0, ϕ_1, ψ_1)$ in Lorentz spaces

Peleshenko B. I.

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Abstract

We prove theorems of interpolation of quasilinear operators of weak type (φ0 , ψ0 , φ1 , ψ1 ) in the Lorentz spaces. The operators considered are the analogs of the Calderon and Benett operators for concave and convex functions φ0 (t), ψ0 (t), φ1 (t), ψ1 (t).

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 11, pp 1741-1762.

Citation Example: Peleshenko B. I. Interpolation of operators of weak type $(ϕ_0, ψ_0, ϕ_1, ψ_1)$ in Lorentz spaces // Ukr. Mat. Zh. - 2005. - 57, № 11. - pp. 1490–1507.

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