## Real Analysis Exchange

### Sufficient conditions for three weight sum inequalities in Lebesgue spaces

#### Abstract

Conditions (in terms of integrals of the weights) are derived, under which the weighted $L^q$-norm of the $j$-th order derivative of the function $u$ can be estimated by the sum of the weighted $L^r$-norm of $u$ and of the weighted $L^p$-norm of its $m$-th order derivative, $j\lt m$. All mutual positions of the parameters, $p,\, q, \, r$ are admissible.

#### Article information

Source
Real Anal. Exchange, Volume 22, Number 1 (1996), 292-317.

Dates
First available in Project Euclid: 1 June 2012

https://projecteuclid.org/euclid.rae/1338515222

Mathematical Reviews number (MathSciNet)
MR1433615

Zentralblatt MATH identifier
0879.26053

#### Citation

Brown, Richard C.; Hinton, Don B.; Kufner, Alois. Sufficient conditions for three weight sum inequalities in Lebesgue spaces. Real Anal. Exchange 22 (1996), no. 1, 292--317. https://projecteuclid.org/euclid.rae/1338515222

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