Operators on Weighted 🏋️ Hardy Spaces 🌌

✅ The main purpose of this book 📚️ is to introduce the generalized composition operators and ➕ the generalized multiplication ✖️ operators on weighted 🏋️ Hardy spaces 🌌 . Composition operators have been the subject matter of intensive study over past several decades and ➕ they find 🔎 applications in ergodic theory ,quantum mechanics 👨‍🔧 and ➕ other branches of mathematical and ➕ physical sciences . The 1️⃣st chapter of the 📚️ contains introductory material . The 1st chapter of the book contains introductory material . The compact, Fredholm generalized composition operators are characterized in the second 🥈 chapter. The Hermitian,Normal ,Quasi normal ,Isometric and ➕ co isometric generalized composition operators are presented 🎁 in the third 🥉 chapter. It is shown that most of the properties of the generalized multiplication ✖️ operators differ from the multiplication ✖️ operators acting 🎭️ on other function spaces 🌌 .eg:- On most of the function spaces 🌌 multiplication ✖️ operators are normal .But this result is not ❌️ valid incase of generalized multiplication ✖️ operators on weighted 🏋️ Hardy spaces 🌌 . In this book 📚️ some light 💡 is thrown on differential and ➕ anti-differential operators acting 🎭️ on weighted 🏋️ Hardy spaces 🌌 .

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