Interpolation theorem for anisotropic net spaces

2020/09/01 by A. N. Bashirova, Bashirova, A. N., A. H. Kalidolday +3
Engineering · Mathematics · #42B35 #46B70 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Material Science and Thermodynamics

paper · pdf · doi:10.48550/arxiv.2009.00609

openalex publication_date 2020/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper studies the interpolation properties of anisotropic net spaces N_p,q(M), where p=(p₁, p₂), q=(q₁, q₂). It is shown that the following equality holds with respect to the multidimensional interpolation method (N_p₀,q₀(M), N_p₁,q₁(M))_θ,q=N_p,q(M), \frac1p=\frac1-θp₀+\fracθp₁.

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