Extrapolation theorem on some Quasi-Banach spaces

Takuya Sobukawa

doi:10.3836/tjm/1270043472

Extrapolation theorem on some Quasi-Banach spaces

Takuya Sobukawa^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In [5], the author has proved extended sharp extrapolation theorem on L^p spaces with ∑-method ([1]), which asserted ∑_1<p<q((p−1)^−αL^p)^p/q=(Llog^αL+L^q)^1/q. In the present paper, on that result, we shall consider the case q≈1.

Original language	English
Pages (from-to)	417-423
Number of pages	7
Journal	Tokyo Journal of Mathematics
Volume	18
Issue number	2
DOIs	https://doi.org/10.3836/tjm/1270043472
Publication status	Published - 1995 Dec
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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title = "Extrapolation theorem on some Quasi-Banach spaces",

abstract = "In [5], the author has proved extended sharp extrapolation theorem on Lp spaces with ∑-method ([1]), which asserted ∑1((p−1)−αLp)p/q=(LlogαL+Lq)1/q. In the present paper, on that result, we shall consider the case q≈1.",

author = "Takuya Sobukawa",

year = "1995",

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AB - In [5], the author has proved extended sharp extrapolation theorem on Lp spaces with ∑-method ([1]), which asserted ∑1((p−1)−αLp)p/q=(LlogαL+Lq)1/q. In the present paper, on that result, we shall consider the case q≈1.

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SP - 417

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JO - Tokyo Journal of Mathematics

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Extrapolation theorem on some Quasi-Banach spaces

Abstract

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