What is the meaning of beleaguering?

noun

• The action of an armed force that surrounds a fortified place and isolates it while continuing to attack.
  • synonyms: siege, besieging, military blockade

verb

• Annoy persistently.
  • usage: "The children teased the boy because of his stammer"
  • synonyms: tease, badger, pester, bug, beleaguer
• Surround so as to force to give up.
  • usage: "The Turks besieged Vienna"
  • synonyms: besiege, beleaguer, surround, hem in, circumvent