The phrase "a lack of much" is correct and usable in written English.
It can be used to describe a situation where there is insufficient quantity or quality of something.
Example: "The report showed a lack of much-needed data, making it difficult to draw any conclusions."
Alternatives: "a scarcity of" or "a deficiency of".
Despite a lack of much physical play, the N.H.L.-I.I.H.F.
The flip side of the Bush team's predilection for the personal is a lack of much real enthusiasm for the multilateral institutions that Mr. Clinton saw as the vital wiring of a globalized world.
Soon after these boycotts were in place, South Carolina developed a stigma and suffered not only in the court of public opinion, but also from a lack of much needed revenue.
Etanercept should not be continued during pregnancy because of a lack of much information (evidence level IV).
Conditional over-expression of the pre-mRNA splicing factor gene tra during development significantly inhibited sexual differentiation in males, resulting in a lack of much of the external genitalia and a reduction in the size of the sex combs, however these flies did not exhibit a significant change in life span.
"But more than one in every four children remains stunted, hostage to life-long ill-health and reduced educational and career prospects as a result of a lack of much needed proteins, fruits, vegetables and fats, as well as frequent infections due to a lack of both essential medicines and clean water, as well as poor hygiene.
The deaths of some of the rival factions' leaders and cease-fire agreements between Garang and Machar the last of which was in April 1995 ended much of the infighting, but not before thousands of southern Sudanese had been killed, either directly from the infighting or from complications stemming from a lack of much-needed food aid that could not be distributed because of the conflict.
That's not a huge number for a movie that cost an estimated $135 million to make and endured significant challenges during production, including a lack of much-needed snow in its Canadian shooting location that forced the filmmakers to relocate to Argentina.
Part of this predicament stems from a lack of will, much of it from a lack of resources in an era of austerity.
So, several chapters yet remain to be told in the DSK story – a lack of resolution much to the dismay of French Socialists.
It bothered me that the character was written with such a lack of finesse much of the time, just as it bothers me when Sam is written with a lack of finesse and complexity.
