In the article titled “Semigroup Maximal Functions, Riesz Transforms, and Morrey Spaces Associated with Schrödinger Operators on the Heisenberg Groups” [1], there were errors in the Introduction, Definitions and Main Theorems, Boundedness of the Semigroup Maximal Functions, and Boundedness of the Riesz Transforms sections. The corrected errors are shown below:
“where is the homogeneous dimension of” should read “where is the homogeneous dimension of”.
“” should read “”.
“we will always assume that with ” should read “we will always assume that with ”.
“” should read “”.
“” should read “”.
“” should read “”.
“If , then” should read “If , then”.
“In fact, the function stated the above exists as a solution to” should read “In fact, the function stated above exists as a solution to”.
“” should read “”.
“” should read “”.
“Now define the functional by” should read “Now define the functional by”.
“(c) it satisfies the triangle inequality:
(ii) In view of (45)”
should read
“(c) it satisfies the triangle inequality:
(ii) In view of (45)”.
“” should read “”.
“” should read “”.
“” should read “”.
“” should read “”.
“whenever ” should read “whenever ”.
“Lemma 32 was obtained by Pengtao and Lizhong in [19],” should read “Lemma 32 was obtained by Li and Peng in [19],”.
“” should read “”.
“” should read “”.
“” should read “”.
“” should read “”.
“where a large enough is chosen satisfying” should read “where is chosen large enough satisfying”.
“where and ” should read “where and ”.
“where a large enough is chosen such that” should read “where is chosen large enough such that”.
“We recall the relation ” should read “We recall the relation ”.