HFpEF stands for heart failure with preserved ejection fraction. Commonly, it is defined as those with an LV ejection fraction of more than 50%, though varying definitions do exist.

This condition is poorly understood and is difficult to diagnose, because it is largely one of excluding other potential non cardiac causes of symptoms suggestive of HF.

It is more common in

older
women
obese
CAD
diabetes
atrial fibrillation

Evidence based therapy is not as readily available and here is the summary from the ACC/AHA 2013 guidelines:

I-B = BP control
I-C = Diuretics for symptoms
IIa-C = Coronary revascularization for coronary artery disease
IIa-C = AF management
IIa-C = HT management with bB, ACEi, ARB