Question: Prove Hlders inequality Consider the normalized vectors u = x/x p , = y/y q , and observe that Then, apply Youngs inequality to

Prove Hölder’s inequality Consider the normalized vectors u = x/ΙΙxΙΙp, ν = y/ΙΙyΙΙq, and observe that

Y |on|7b||f|| d || x || > |a_n| b||h||d||x|| = |h_x| .

Then, apply Young’s inequality to the products 

Y |on|7b||f|| d || x || > |a_n| b||h||d||x|| = |h_x| .

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