A B757-200 IMMEDIATELY AFTER TKOF WHEN LNDG GEAR RETRACTED LOST THE L HYD SYS PRESSURE AND QUANTITY DUE TO A FAILED NOSE GEAR FLEXIBLE HOSE.

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FLT XYZ ACFT YYY LOST L HYD SYS ON TKOF IMMEDIATELY FOLLOWING GEAR RETRACTION. FLUID LOST THROUGH NOSE WHEEL WELL. MADE NORMAL LNDG AT FLAPS 20 DEGS SETTING AFTER COMPLETING HYD SYS FAILURE CHKLIST. EXTENDED LNDG GEAR AND FLAPS BY MEANS OF ALTERNATE SYS. EMER WAS NOT DECLARED. ACFT WAS TOWED TO THE GATE BY MAINT PERSONNEL AFTER LNDG AS NOSEWHEEL STEERING WAS LOST. THE BIGGEST DISTR WAS ATC'S INCESSANT AND MOSTLY UNNECESSARY QUESTIONS; SUCH AS 'DO YOU NEED TO DUMP FUEL?' I WAS ASKED THIS QUESTION AT LEAST 3 TIMES. WE WERE VERY BUSY COMPLETING REQUIRED CHKLISTS AND REPEATEDLY HAD TO POLITELY INFORM ATC THAT WE WOULD ADVISE THEM WHEN WE WOULD BE RETURNING FOR LNDG. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE RPTR SAID THIS IS THE THIRD OCCURRENCE OF LOSS OF THE L HYDS FROM THE NOSE GEAR COMPONENTS. THE RPTR SAID THIS INCIDENT WAS CAUSED BY A FAILED FLEXIBLE HYD PRESSURE HOSE ON THE GEAR ACTUATOR OR THE NOSE GEAR DOOR ACTUATOR. THE RPTR STATED THE EXACT HOSE FUNCTION WAS NOT KNOWN BUT IT WAS A HOSE IN 1 OF THE 2 ACTUATORS.