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math.CA2014
Hardy-Littlewood Maximal Operator And Class of Exponents
Tengiz Kopaliani, Shalva Zviadadze
It is well known that if Hardy-Littlewood maximal operator is bounded in space then . On the other hand if $p(\cdot)\in BMO^{1/\log}…
math.FA2014
On the upper and lower estimates of norms in variable exponent spaces
Tengiz Kopaliani, Nino Samashvili, Shalva Zviadadze
In the present paper we investigate some geometrical properties of the norms in Banach function spaces. Particularly there is shown that if exponent belongs to $BLO^{1…