Some Extensions of the Kolmogorov–Stein Inequality

Ha Huy Bang,Vu Nhat Huy

Some Extensions of the Kolmogorov–Stein Inequality

2015

Ha Huy Bang
Vu Nhat Huy

In this paper, we prove some extensions of the Kolmogorov–Stein inequality for derivatives in L p (ℝ) norm to differential operators generated by a polynomial.

Keywords:

Cauchy–Schwarz inequality
Gagliardo–Nirenberg interpolation inequality
Minkowski inequality
Hölder's inequality
Lp space
Log sum inequality
Rearrangement inequality
Mathematics
Kantorovich inequality
Topology
Mathematical analysis
Discrete mathematics

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