ichidan verb, transitive verb
know (someone); be acquainted with
Humble (kenjougo) verb used to refer to knowing or being acquainted with a person of higher status. Often used in formal introductions or when speaking about someone respected.
お名前は存じ上げております。
I know your name (humble).
田
I am well acquainted with Mr./Ms. Tanaka (humble).
ichidan verb, transitive verb
Dated humble usage for 'to think' or 'to believe'. In modern Japanese, 存じる or 思う is more common. Still encountered in very formal or old-fashioned contexts.
See also: 存じる
そのように存じ上げます。
I think so (humble, dated).
ご無事で何よりと存じ上げます。
I believe your safety is the most important thing (humble, dated).