DUBAI (AFP) - Former world number one Ana Ivanovic provided hints on and off the court at the Dubai Open here Monday as to why her new coach might just provide the boost she needs to get back to the top of the world rankings. The Serbian superstar teamed up with American Craig Kardon only last week - and her first match with his help produced an important revenge. She won 7-5, 6-4 against Alisa Kleybanova, the aggressive Russian who caused a massive shock last month when she beat Ivanovic in the third round of the Australian Open in Melbourne. That was Ivanovic's last match on the WTA Tour, but she took the opportunity to repair some of the damage at the first attempt, proving resilient when it mattered most. "I was looking for revenge but I felt nervous at the start," Ivanovic admitted. "But I have been very aggressive and serving very well. That's something I have been working on with Craig and I felt confident going on court." She gained an early break for 4-1, lost it, and was pegged back for 5-5. But crucially Ivanovic proved her readiness to fight as she squeezed out the first set. The second was an even tighter steal, with both players holding serves through to 4-4, at which stage Ivanovic had to save a break point which might have opened the door for Kleybanova to take the match to a decider. Instead she got to 5-4, which really threw the pressure back on the serve of the world number 27. Kleybanova saved one match point superbly but on the second she succumbed to Ivanovic's tenacious containing, angling a makable backhand volley into the net. The win will also be a relief as Ivanovic's record since winning the French Open last June is only 11 wins in 20 matches, during which time she has not only been bothered by injury but has appeared to have lost her way. Hence the importance of Kardon, who used to be coach to Martina Navratilova. "We have practised really well, on moving forward, coming to the net - simple things because we haven't had time to go into detail. But I feel I am achieving something every practice. "Every player is different and everyone has their own technique and there are some parts I have to work on. But my technique is pretty good and I was just working on patterns and my game in general." She now has a strong chance to reach a quarter-final, possibly against world number one Serena Williams, because the other seed in her quarter, Agnieszka Radwanska, the number nine, was beaten. The 19-year-old Pole who recently made the world's top ten for the first time, became the curiosity of the tournament so far - because she was beaten by her sister. That is the 18-year-old Urszula, who scored her first tournament win over Agnieszka by 6-4, 6-3 over her elder sibling to reach the second round on the main tour for only the second time in five months. The success carried Urszula out of the shadows and brought immediate questions as to whether there might ultimately be a rivalry between the two Polish sisters similar to that of Serena and Venus Williams. "It's nice that some people are comparing us to the Williams sisters," Urszula replied discreetly. "But they've had really great success since the beginning on the tour. So it's hard to say - but we'll see." But even though Urszula is currently ranked outside the top 100, her success was not a complete surprise, as Agnieszka has not been feeling well and played well below par. Later Svetlana Kuznetsova, the former US Open champion who has surprised many people by failing so far to win more than one Grand Slam title, also contrived to fall at her first hurdle. The seventh seeded Russian lost 6-4, 3-6, 6-0 by her Ukraine-born compatriot Elena Vesnina - although Kuznetsova's performance in the final set suggested she had as much to do with the result as her opponent. "I was so frustrated - I felt I was playing against myself," a grumpy-looking Kuznetsova said. "I just couldn't do what I wanted to."