In this note, we shall improve the theorem of interpolation which were studied by S. Koizumi. And then we get the following estimate for every singular integral operator T which satisfies Hoermander's condition. ∫_(|Tf|≤1) |Tf|/((1-log|Tf|)~(1+ε))dx + ∫_(|Tf|>1) |Tf|dx ≤ M＿ε { ∫_( |f|≤1) (|f|)/((1-log|f|) + ∫_(|f| > 1) |f|(1+log|f|)dx}, where ε is any fixed positive number and M＿∈ is a constant independent of f.
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机译：在本文中，我们将完善小泉纯一郎研究的插值定理。然后，对于满足Hoermander条件的每个奇异积分算子T，我们得到以下估计。 ∫_（| Tf |≤1）| Tf | /（（（1-log | Tf |）〜（1 +ε））dx +∫_（| Tf |> 1）| Tf | dx≤M＿ε {∫_（ | f |≤1）（| f |）/（（（1-log | f |）+∫_（| f |> 1）| f |（1 + log | f |）dx}，其中ε是固定的正数，M＿ε是一个独立于f的常数。
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