Which preposition follows "in the week" when denoting a specific week of the year?

Solution 1:

"The week of March 16" is correct and in common usage.

"The week from March 16," with no further date range language, is incorrect.

"The week from March 16 through March 22" and "The week from March 16 until March 22" are both grammatically correct, but redundant and not common as stock usages.

Note that it's not typical to use "in" before "the week of." You just say "I'm going home the week of March 16" not "I'll be away the week of March 16," assuming you are referring to the week as a whole. If you want to refer to a specific moment within the week, you would more typically use "during," e.g. "I will do it during the week of March 16."

Solution 2:

"the week of date" means the week (starting from either Sunday or Monday) during which that date occurs, often but not necessarily starting from that date.

For example "I will be absent the week of August 9th" could refer to the week beginning Monday August 7th.

"the week from date" specifically means the week that begins on that date.