Grilled Hearts of Palm, Radicchio, and Asparagus

Ingridients of Grilled Hearts of Palm, Radicchio, and Asparagus:

• 5 hearts of palm , rinsed and patted dry
• 1/2 head radicchio , halved lengthwise (about 4 oz.)
• 1/2 bunch asparagus , ends trimmed (about 8 oz.)
• 2 tablespoons extra-virgin olive oil
• 1/4 teaspoon kosher salt
• fresh ground black pepper
• 3 very thin slices prosciutto di Parma , torn into strips (about 1 3/4 oz.)
• 1 ounce shaved parmigiano-reggiano cheese (scant 1/2 cup)
• 2 tablespoons extra-virgin olive oil
• 1 tablespoon fresh lemon juice
• 1/2 teaspoon finely grated lemon zest
• 1 pinch granulated sugar
• 1/4 teaspoon kosher salt
• 1 pinch ground pepper