하디 공간

노트

위키데이터

• ID : Q1585233

말뭉치

1. In this chapter the classical theory of the Hardy spaces on the open unit disk will be explored.
2. The author does a masterful job of choosing topics that give a solid introduction to Hardy spaces without overwhelming the reader with too much too soon.
3. From the high stand due to a lifelong affinity for the subject, Nikolaï Nikolski delineates and recounts the fascinating history of Hardy space with style.
4. This book, aimed at beginning graduate students, introduces and develops the classical results on Hardy spaces and applies them to fundamental concrete problems in analysis.
5. Brett Wick, Washington University, St Louis 'From the high stand due to a lifelong affinity for the subject, Nikolaï Nikolski delineates and recounts the fascinating history of Hardy space with style.
6. The Hardy spaces defined in the preceding section can also be viewed as certain closed vector subspaces of the complex Lp spaces on the unit circle.
7. belong to the space (see the section on real Hardy spaces below).
8. when f ∈ Lp(T), hence the real Hardy space Hp(T) coincides with Lp(T) in this case.
9. Distributions on the circle are general enough for handling Hardy spaces when p < 1.
10. We shall focus our attention on Hardy spaces.
11. In contrast to that, hardy spaces seem to be less intuitive due to cancellation properties.
12. Hence we establish the theory of product Hardy spaces on spaces X˜=X1 × X2 × ··· × Xn, where each factor Xi is a space of homogeneous type in the sense of Coifman and Weiss.
13. The Hardy space theory developed in this paper includes product Hp, the dual CMOp of Hp with the special case BMO = CMO1, and the predual VMO of H1.
14. Abstract: We prove that certain quadratic expressions involving the gradient of a weakly superharmonic function in belong to a local Hardy space.
15. We study such operators acting on the Hilbert Hardy space over the right half-plane and characterize the situations when they are invertible, Fredholm, unitary, and Hermitian.