be noted for (something)

To have an established reputation or degree of fame because of something. Professor Jenkins is noted for her groundbreaking work in gene therapy for cancer treatment. The book has been noted for its brutally honest depiction of life in poverty. They want to hire someone noted for their work in the field, not a nobody like me.

become noted for (something)

To develop or establish a reputation or degree of fame because of something. Professor Jenkins has become noted for her groundbreaking work in gene therapy for cancer treatment. The book quickly became noted for its brutally honest depiction of life in poverty. How many artists become noted for their work after they die? Because it sure seems like a lot!

duly noted

I have recorded, mentally or physically, what you have said. Can also indicate the speaker's annoyance or disinterest. A: "This report needs to be finished by Friday." B: "Duly noted." Your request is duly noted, sir. No red M&Ms in your office. A: "I studied extra hard for this test, Mrs. Smith! I just thought you should know that before you grade them." B: Duly noted. Now close the door on your way out."

note down

To write something down, often hastily or carelessly. A noun or pronoun can be used between "note" and "down." Let me just grab a pen so I can note that number down. Here, I noted down some ideas for you.

noted for (something)

Having an established reputation or degree of fame because of something. Professor Jenkins is noted for her groundbreaking work in gene therapy for cancer treatment. The book has been noted for its brutally honest depiction of life in poverty.

note something down

to write down a note about something. Please note these words down. Note down the following facts.

*noted for something

Fig. famed for something; memorable for something. (*Typically: be ~; become ~.) We were all noted for our polite manners. The restaurant was noted for its traditional fare. Tom was noted far and wide for his excellent pies and cakes.