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Explore the fundamental concepts of Hardy spaces in this comprehensive lecture by Agnieszka Hejna from the University of Wrocław, Poland. Delve into the theory and applications of these important function spaces, gaining insights into their properties, characterizations, and significance in complex analysis and harmonic analysis. Learn about the historical development of Hardy spaces, their connection to other functional spaces, and their role in solving various mathematical problems. Discover key theorems, techniques, and examples that illustrate the power and elegance of Hardy spaces in mathematical analysis.