Results 111 to 120 of about 400,268 (122)
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Hardy’s inequality on Hardy–Morrey spaces
Georgian Mathematical Journal, 2017Abstract We generalize the Hardy inequality to Hardy–Morrey spaces.
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Interpolation in the Hardy space
Integral Transforms and Special Functions, 2013We introduce an interpolation formula for functions in the Hardy space on the right-half plane and prove its convergence in norm and pointwise under very general condition. We also obtain an inverse formula for the Laplace transform from data on a finite interval.
Nguyen Thanh Hong, Vu Kim Tuan
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Hardy Spaces on the Disk [PDF]
, 1994 We apply the results of Chapter 3 to analytic functions on the unit disk. The theorem of Szego-Solomentsev (Theorem 3.13) permits a very quick derivation of the fundamental representation theorems for the Nevanlinna classes N(D) and N+(D). These results (Theorems 4.11 and 4.14) give the complete multiplicative structure of any function f in N(D) or N ...
James Rovnyak, Marvin Rosenblum
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Acta Mathematica Sinica, English Series, 2010
Hardy spaces with generalized parameter are introduced following the maximal characterization approach. As particular cases, they include the classical Hp spaces and the Hardy-Lorentz spaces Hp,q. Real interpolation results with function parameter are obtained.
António M. Caetano, Alexandre Almeida
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Hardy spaces with generalized parameter are introduced following the maximal characterization approach. As particular cases, they include the classical Hp spaces and the Hardy-Lorentz spaces Hp,q. Real interpolation results with function parameter are obtained.
António M. Caetano, Alexandre Almeida
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Hardy Spaces and their Subspaces
2021As we have previously stated on a number of occasions, if g is integrable, its Hilbert transform is not necessarily integrable. Moreover, it can be even not locally integrable. When the Hilbert transform is integrable, we say that g is in the (real) Hardy space\(H^1:=H^1(\mathbb R).\) There are a variety of its characterizations (or, equivalently ...
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A Generalization of the Hardy Spaces
Canadian Journal of Mathematics, 1964The Hardy spaces for right half-planes, , σ real, 1 ≤ p ≤ ∞, are defined to consist of all those functions f(s), holomorphic for Re s > σ, for which μp(f, x) exists and is bounded for x > σ, whereThese spaces have been studied extensively (see, for example, 3, Chapter 8, and 2, §19.1).
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Hardy spaces on the Quaternions
Advances in Applied Clifford Algebras, 2003In this paper, the Quaternion-valued Hardy spaces and conjugate Hardyspaces on $$\mathbb{R}^{3} $$ are characterized. In analogy with the decomposition of square-integrable function space on the real line
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Analysis Mathematica, 1994
Обобщаются некоторы е дуальные результат ы теории мартингалов. Доказан ы теоремы дуальности а томических простран ств Харди, пространствBMO иVMO.
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Обобщаются некоторы е дуальные результат ы теории мартингалов. Доказан ы теоремы дуальности а томических простран ств Харди, пространствBMO иVMO.
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1991
Abstract: "Motivated by questions in nonlinear elasticity, Stefan Müller has recently proved that if u [epsilon] (W¹,N ([subscript R superscript N))[superscript N] satisfies J(u) = det[delta]u [> or =] 0 almost everywhere, then one has J(u)log(1+J (u)) L¹loc(R[superscript N]).
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Abstract: "Motivated by questions in nonlinear elasticity, Stefan Müller has recently proved that if u [epsilon] (W¹,N ([subscript R superscript N))[superscript N] satisfies J(u) = det[delta]u [> or =] 0 almost everywhere, then one has J(u)log(1+J (u)) L¹loc(R[superscript N]).
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