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The Lizorkin-Freitag formula for several weighted $L_{p}$ spaces and vector-valued interpolation

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Asekritova I., Krugljak N., Nikolova L.

Studia Mathematica

2005

tom 170

nr 3

227-239

A complete description of the real interpolation space $L = (L_{p₀}(ω₀),...,L_{pₙ}(ωₙ))_{θ⃗,q}$ is given. An interesting feature of the result is that the whole measure space (Ω,μ) can be divided into disjoint pieces $Ω_{i}$ (i ∈ I) such that L is an $l_{q}$ sum of the restrictions of L to $Ω_{i}$, and L on each $Ω_{i}$ is a result of interpolation of just two weighted $L_{p}$ spaces. The proof is based on a generalization of some recent results of the first two authors concerning real interpolation of vector-valued spaces.

Ograniczanie wyników

1 Studia Mathematica

1 Asekritova I.

1 Krugljak N.

1 Nikolova L.

1 2005

Wyniki wyszukiwania

The Lizorkin-Freitag formula for several weighted $L_{p}$ spaces and vector-valued interpolation