  We improve a result of Solymosi on sum-products in R, namely, we prove that
max{|A+A|,|AA|}\gg |A|^{4/3+c}, where c>0 is an absolute constant. New lower
bounds for sums of sets with small product set are found. Previous results are
improved effectively for sets A from R with |AA| \le |A|^{4/3}.

Combinatorics;Number Theory