Spectral subspaces of $L^p$ for $p&lt;1$

Aleksandrov, A. B.

doi:10.1090/s1061-0022-08-01001-7

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Cited by 3 publications

(1 citation statement)

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“…Therefore, the study of the potential risk of effects of nanomaterials on health and environment is very actual [13]. The risk of pathologies caused by nanomaterials is not yet completely clear; therefore, investigation of toxic effects of nanoparticles today is becoming the new direction in experimental medicine [14].…”

Section: Introductionmentioning

confidence: 99%

The State of Antioxidant Systems and Lipids’ Peroxidation Under the Action of Complex Substances

2022

Nanosistemi, Nanomateriali, Nanotehnologii

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Section: Introductionmentioning

confidence: 99%

The State of Antioxidant Systems and Lipids’ Peroxidation Under the Action of Complex Substances

2022

Nanosistemi, Nanomateriali, Nanotehnologii

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Correction Up to a Function with Sparse Spectrum and Uniformly Convergent Fourier Integral for the Group ℝn

Kislyakov

2019

J Math Sci

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On generalized K-functionals in $$L_p$$ for $$0<p<1$$

Kolomoitsev

Lomako

2023

Fract Calc Appl Anal

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We show that the Peetre K-functional between the space $$L_p$$ L p with $$0<p<1$$ 0 < p < 1 and the corresponding smooth function space $$W_p^\psi $$ W p ψ generated by the Weyl-type differential operator $$\psi (D)$$ ψ ( D ) , where $$\psi $$ ψ is a homogeneous function of any positive order, is identically zero. The proof of the main results is based on the properties of the de la Vallée Poussin kernels and the quadrature formulas for trigonometric polynomials and entire functions of exponential type.

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Spectral subspaces of $L^p$ for $p<1$

Cited by 3 publications

References 35 publications

The State of Antioxidant Systems and Lipids’ Peroxidation Under the Action of Complex Substances

The State of Antioxidant Systems and Lipids’ Peroxidation Under the Action of Complex Substances

Correction Up to a Function with Sparse Spectrum and Uniformly Convergent Fourier Integral for the Group ℝn

On generalized K-functionals in $$L_p$$ for $$0<p<1$$

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