Introductory reference for Hardy spaces on the disk

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I'm looking for a good introductory reference for $H^p$ spaces on the unit disk. I already have a good background in real/complex analysis and functional analysis. I currently have the text Funtion Classes on the Unit Disk by Pavlović, but I'd like a reference with more complete proofs if possible. My goal is to study the boundary behavior of $H^p$ functions.

Any suggestions are appreciated!