Results 31 to 40 of about 7,634 (181)
Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces [PDF]
, 2017 The aim of the paper is twofold. First, we present a new general approach to the definition of a class of mixed norm spaces of analytic functions A(q;X)(D), 1
Karapetyants, Alexey, Samko, Stefan
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Interpolation inequalities between Sobolev and Morrey-Campanato spaces: A common gateway to concentration-compactness and Gagliardo-Nirenberg interpolation inequalities [PDF]
, 2013 We prove interpolation estimates between Morrey-Campanato spaces and Sobolev spaces. These estimates give in particular concentration-compactness inequalities in the translation-invariant and in the translation- and dilation-invariant case.
Van Schaftingen, Jean
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Dual spaces of local Morrey-type spaces [PDF]
Czechoslovak Mathematical Journal, 2011 Let \(\omega \) be a weight function on \((0,\infty )\). The local Morrey-type spaces \(LM_{p,\theta ,\omega }\) with the norm \(\| \omega (r)\| f\| _{L_p(B(0,r))}\| _{L_{\theta }(0,\infty )}\) are considered.
Gogatishvili, Amiran, Mustafayev, Rza
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Generalized Morrey spaces and trace operator
, 2015 The theory of generalized Besov-Morrey spaces and generalized Triebel-Lizorkin-Morrey spaces is developed. Generalized Morrey spaces, which T. Mizuhara and E. Nakai proposed, are equipped with a parameter and a function.
Nakamura, Shohei +2 more
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Martingale Morrey-Hardy and Campanato-Hardy Spaces
Journal of Function Spaces and Applications, 2013 We introduce generalized Morrey-Campanato spaces of martingales, which generalize both martingale Lipschitz spaces introduced by Weisz (1990) and martingale Morrey-Campanato spaces introduced in 2012.
Eiichi Nakai +2 more
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Proceedings of the American Mathematical Society, 2013 For any function f f belonging to Q p , λ Q^{p,\lambda } , a certain proper subspace of the classical Morrey space L p , λ L^{p, \lambda } , a sharp capacity weak-type estimate is obtained for its Riesz
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Annales Academiae Scientiarum Fennicae Mathematica, 2013 Let \(K:[0,\infty)\to [0,\infty)\) be a right-continuous nondecreasing function. The space \(Q_K\) consists of the holomorphic functions \(f\) in the unit disk \(\mathbb{D}\) such that \[ \|f\|_K^2 = \sup_{a\in\mathbb{D}} \int_{\mathbb{D}} |f^\prime(z)|^2 K(g(z,a))\, \mathrm{d}A(z) \frac{1}{2}\), and \(K\)-Carleson measures. If \(\alpha\) is a positive
Wulan, Hasi, Zhou, Jizhen
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On Burenkov's extension operator preserving Sobolev-Morrey spaces on Lipschitz domains
, 2016 We prove that Burenkov's Extension Operator preserves Sobolev spaces built on general Morrey spaces, including classical Morrey spaces. The analysis concerns bounded and unbounded open sets with Lipschitz boundaries in the n-dimensional Euclidean space ...
Burenkov +8 more
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Proper Inclusion Between Vanishing Morrey Spaces and Morrey Spaces
Tensor: Pure and Applied Mathematics Journal, 2021 In this paper, we give an explicit function which belongs to the Morrey spaces but not in the vanishing Morrey spaces. Therefore, we obtain that the Morrey spaces contain the vanishing Morrey spaces properly.
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Martingale Morrey-Campanato Spaces and Fractional Integrals
Journal of Function Spaces and Applications, 2012 We introduce Morrey-Campanato spaces of martingales and give their basic properties. Our definition of martingale Morrey-Campanato spaces is different from martingale Lipschitz spaces introduced by Weisz, while Campanato spaces contain Lipschitz spaces ...
Eiichi Nakai, Gaku Sadasue
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