In complex analysis, the Hardy spaces (or Hardy classes) Hp are certain spaces of holomorphic functions on the unit disk or upper half plane. They were...

Campbell–Hardy theorem Hardy hierarchy Hardy notation Hardy space Hardy–Hille formula Hardy–Littlewood definition Hardy–Littlewood inequality Hardy–Littlewood...

generalized functions, and Hardy spaces of holomorphic functions. Geometric intuition plays an important role in many aspects of Hilbert space theory. Exact analogs...

become the classical Cauchy transform, the orthogonal projection onto Hardy space, and the Hilbert transform a real orthogonal linear complex structure...

is the compression of a multiplication operator on the circle to the Hardy space. Let S 1 {\displaystyle S^{1}} be the complex unit circle, with the standard...

descriptions as a fallback Bochner space – Type of topological space Orlicz space – Type of function space Hardy space – Concept within complex analysis...

topology all functions, space of pointwise convergence Hardy space Hölder space Càdlàg functions, also known as the Skorokhod space Lip 0 ( R ) {\displaystyle...

{\displaystyle L^{2}(\mathbb {R} ).} The operator U carries the Hardy space H2(T) onto the Hardy space H 2 ( R ) {\displaystyle H^{2}(\mathbb {R} )} . Bedrosian's...

comes from the name of the mathematical space over which the optimization takes place: H∞ is the Hardy space of matrix-valued functions that are analytic...

Hardy space, H p , {\displaystyle H^{p},} and in particular, ‖ u ‖ H p = ‖ f ‖ L p {\displaystyle \|u\|_{H^{p}}=\|f\|_{L^{p}}} Thus, again, the Hardy...