The phrase "assertions on behalf" is correct and usable in written English.
It can be used when referring to statements or claims made for someone else or on someone else's authority.
Example: "The lawyer made several assertions on behalf of her client during the trial."
Alternatives: "claims on behalf" or "statements on behalf".
The hacking scandal had been smoldering for years, but ignited in recent weeks after assertions that hacking on behalf of The News of the World had interfered with the investigation into the 2002 murder of a 13-year-old girl, Milly Dowler.
The endorsement appears to support assertions that Mr. Clinton's campaigning on behalf of his wife in South Carolina has in some ways hurt her candidacy.
I doubt also that they would want, if they thought about it a bit harder, to accept the 9/11 attackers' assertion that they were acting on behalf of their Muslim brothers.Moreover, the call for sensitivity cuts both ways.
Another lawyer who has litigated against the N.C.A.A., Stephen Morrissey, said there could be potential weaknesses in Corbett's assertion that he brought the case on behalf of aggrieved businesses and residents.
But the jury overwhelmingly rejected the prosecution's assertion that the senator's actions on behalf of his friend of 25 years were the product of a corrupt agreement.
These assertions are about an overwhelming sense of entitlement on behalf of religious organizations to force anyone within their reach to adhere to their beliefs.
The retracted article, citing law enforcement sources, said Mr. Rich had shared thousands of D.N.C. emails with WikiLeaks — a theory that would undercut the assertions that Russia had interfered in the election on behalf of Mr. Trump.
Mr. Yene has said that Ms. Herman was willing to use her influence on behalf of their clients, an assertion she denied.
Later in 2016, Page became a surveillance target of the FBI, which suspected him of acting on behalf of the Russian government — an assertion he denies.
In the fall of 2016, he became a surveillance target of the FBI, which suspected him of acting on behalf of the Russian government — an assertion he denies.
