= 0 and w(x)x](1/q) approximate to [v(x)x](1/p) for all x is an element of (0, +infinity), We prove that if the averaging operator (Af)(x) = 1/x integral(x)(0) f(t)dt, x is an element of (0, +infinity), is bounded from the weighted Lebesgue space L-p(0, +infinity), v) into the weighted Lebesgue space L-q((0, +infinity); w), then there exists epsilon(0) is an element of (0, p - 1) such that the space Lq-epsilon q/p((0, +infinity), w(x)(1+delta)x(delta(1-q/p))x(gamma q/p)) for all epsilon, delta, gamma is an element of [0, epsilon(0))."> = 0 and w(x)x](1/q) approximate to [v(x)x](1/p) for all x is an element of (0, +infinity), We prove that if the averaging operator (Af)(x) = 1/x integral(x)(0) f(t)dt, x is an element of (0, +infinity), is bounded from the weighted Lebesgue space L-p(0, +infinity), v) into the weighted Lebesgue space L-q((0, +infinity); w), then there exists epsilon(0) is an element of (0, p - 1) such that the space Lq-epsilon q/p((0, +infinity), w(x)(1+delta)x(delta(1-q/p))x(gamma q/p)) for all epsilon, delta, gamma is an element of [0, epsilon(0))."> Weighted estimates for the averaging integral operator
Počet záznamů: 1  

Weighted estimates for the averaging integral operator

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    		$a 10.1007/BF03191231 $2 DOI
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    		$a Weighted estimates for the averaging integral operator
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    		$1 001 cav_un_epca*0293907 $1 011 $a 0010-0757 $e 2038-4815 $1 200 1 $a Collectanea Mathematica $v Roč. 61, č. 3 (2010), s. 253-262 $1 210 $c Springer
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    		$u http://link.springer.com/article/10.1007%2FBF03191231
Počet záznamů: 1  

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