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We construct a quantity in terms of Lp integral of the Jacobian of a conformal self-map on the unit ball of ℝn+1. Then, we characterize the fractional Carleson measures on the unit ball by the quantity

journal of function spaces and applications/journal of function spaces and applications

The Fractional Carleson Measures on the Unit Ball of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msup><mml:mrow><mml:mi>ℝ</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>

The Fractional Carleson Measures on the Unit Ball ofℝn+1