Harold Gene Lucas appeals the death sentence imposed on him on resentencing. We have jurisdiction pursuant to article V, section 3(b)(1) of the Florida Constitution and affirm the sentence.
A jury convicted Lucas of the first-degree murder of his sixteen-year-old former girlfriend and the attempted murder of two of her friends and recommended that he be sentenced to death. This Court affirmed his convictions, but ordered that he be re-sentenced. Lucas v. State, 376 So.2d 1149 (Fla.1979). Since then, we have remanded several more times for resentencing, the latest being Lucas v. State, 568 So.2d 18 (Fla.1990).1 In our most recent opinion we held that the trial court’s written findings in support of the death penalty were not sufficiently clear and directed the court to reconsider and rewrite those findings.
For resentencing the trial court allowed Lucas to submit his prison records and a postsentence investigation report. On March 15, 1992 Lucas filed a memorandum with the trial court, arguing against the applicability of various aggravators, complaining about not being allowed to present more witnesses and the court’s refusal to order a presentence investigation (PSI), recounting the testimony presented to the jury at the 1987 resentencing, and listing fifteen possible mitigators. The state filed its answer on May 7, 1991, the day set for sentencing. The judge postponed sentencing for a week so that he could study the state’s response and stated: “This Court feels most strongly that in this of all cases, it must be abundantly clear that a reasoned weighing of all aggravating and mitigating circumstances has [been] done.” On May 14, 1992 the judge stated that he had reread and studied the record as well as the memoranda filed by Lucas and the state and that the prison records had been received. After listening to each side’s argument and to a statement from Lucas, the judge read the findings he had written and sentenced Lucas to death.
As his first point on appeal, Lucas argues that the trial court erred by refusing to allow him to present testimony from additional witnesses and by refusing to have a PSI prepared. We disagree.
In our last opinion we remanded “for reconsideration and rewriting of the findings of fact.” Id. at 24. As we further directed:
Lucas should inform the court of the specific nonstatutory mitigating circumstances he wants the court to consider, and the court may permit both sides to present argument regarding those circumstances. There is no need to empanel a new jury.
Id. We did not direct that a new sentencing proceeding be conducted or that further evidence be received. The trial judge followed our order, and we find no error in his refusal to allow the presentation of additional testimony.
As stated before, the judge sentenced Lucas to death immediately after hearing the parties’ arguments. Lucas now argues that the judge erred by preparing the findings of fact prior to the hearing and that, instead, the judge should have listened to the arguments, dismissed the parties, prepared his findings, and then reconvened the proceedings to impose sentence. We disagree.
We told the judge that he “may permit” argument by the parties, but did not direct that he had to do so. The judge had two months in which to study Lucas’ memorandum and stated that he had done so, rereading the record and studying every case cited. The effort and consideration given by the judge are well reflected in his eighteen-page order, and we see no abuse of discretion in his having prepared the sentencing order prior to the May 14th hearing.
*410Lucas also argues that the judge disregarded three possible mitigators2 that he argued on May 14th. He did not, however, list these items in his memorandum. The judge mentioned at least two of them prior to imposing sentence. That they are not included in the sentencing order is more indicative of the judge’s conclusion that they did not require revising the order rather than that the judge ignored them. See Palmes v. State, 397 So.2d 648 (Fla.), cert. denied, 454 U.S. 882, 102 S.Ct. 369, 70 L.Ed.2d 195 (1981). Any failure to consider these items, however, would be harmless error.3
We ordered resentencing because the findings of fact were not sufficiently clear. Lucas now argues that the findings are still not clear and that the judge did not give proper consideration to the mitigating evidence. Our review of the record, however, shows this claim to have no merit.
It is within the trial court’s discretion to decide whether a mitigator has been established, and the court’s decision will not be reversed merely because an appellant reaches a different conclusion. Sireci v. State, 587 So.2d 450 (Fla.1991), cert. denied, — U.S. -, 112 S.Ct. 1500, 117 L.Ed.2d 639 (1992). Moreover, whether a mitigator has been established is a question of fact, and a court’s findings are presumed correct and will be upheld if supported by the record. Campbell v. State, 571 So.2d 415 (Fla.1990).
The trial judge found that two aggrava-tors, previous conviction of a violent felony and committed in a heinous, atrocious, or cruel manner, had been established. He then conscientiously reviewed each proposed mitigator in light of the facts.4 Although he found that several mitigators had been established, the judge also found that they could not be accorded enough weight to overcome the aggravators and, thus, mitigate the sentence. The judge’s findings are supported by competent, substantial evidence and we see no error in his consideration of the mitigating evidence.
Lucas makes three attacks on the heinous, atrocious, or cruel aggravator: 1) the aggravator itself is unconstitutionally vague; 2) the jury instruction on this ag-gravator was unconstitutionally vague; and 3) the facts do not establish this aggra-vator. We have held that the aggravator itself is not vague, Smalley v. State, 546 So.2d 720 (Fla.1989), and Lucas has presented nothing to change that conclusion. The trial court gave an expanded instruction on this aggravator, not the standard instruction invalidated in Espinosa v. Flor*411ida, — U.S. -, 112 S.Ct. 2926, 120 L.Ed.2d 854 (1992), and Lucas did not object to the form of the instruction as given. Thus, not only is his second claim merit-less, it also has not been preserved for appeal. Finally, the facts show the murder to have been heinous, atrocious, or cruel.5 Clearly, this murder was more than a simple shooting, and we affirm the trial court’s findings regarding the aggravators.6
Although Lucas asked that the postsen-tence investigation report be entered into the record, he also asked that any victim-impact statements not be considered. Now, he argues that he should be resen-tenced because the judge may have been influenced by those statements. We find no merit to this argument because there is not even a hint that the judge considered or relied on the statements in determining Lucas’ sentence.
Finally, we reject Lucas' claim that the death sentence is a disproportionate penalty for this murder. The aggravators clearly outweigh the mitigating evidence, and the facts clearly show that this murder is within the class of killings for which the death penalty may be imposed. Therefore, we affirm the trial court’s sentencing Lucas to death.
It is so ordered.
*412BARKETT, C.J., and OVERTON, McDonald, shaw, grimes, kogan and HARDING, JJ., concur.