Results 11 to 20 of about 211 (144)
Orlicz norm inequalities for the composite operator and applications [PDF]
Journal of Inequalities and Applications, 2011 In this article, we first prove Orlicz norm inequalities for the composition of the homotopy operator and the projection operator acting on solutions of the nonhomogeneous A-harmonic equation.
Ding Shusen, Bi Hui
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Inequalities for Green's operator applied to the minimizers [PDF]
Journal of Inequalities and Applications, 2011 In this paper, we prove both the local and global Lφ -norm inequalities for Green's operator applied to minimizers for functionals defined on differential forms in Lφ -averaging domains.
Ding Shusen, Agarwal Ravi
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An embedding norm and the Lindqvist trigonometric functions
Electronic Journal of Differential Equations, 2002 We shall calculate the operator norm $|T|_p$ of the Hardy operator $Tf = int_0^x f $, where $1le ple infty$. This operator is related to the Sobolev embedding operator from $W^{1,p}(0,1)/mathbb{C}$ into $W^p(0,1)/mathbb{C}$.
Christer Bennewitz, Yoshimi Saito
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Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type [PDF]
, 2022 We consider the weighted Sobolev spaces associated with non-isotropic dilations of Calderón–Torchinsky and characterize the spaces by the square functions of Marcinkiewicz type including those defined with repeated uses of averaging operation.MSC ...
93532 +3 more
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Distortion theorems for homeomorphic Sobolev mappings of integrable p-dilatations [PDF]
, 2022 We study the distortion features of homeomorphisms of Sobolev class loc admitting integrability for p-outer dilatation. We show that such map- pings belong to W 1,n−1, are differentiable almost everywhere and possess absolute continuity in measure.
GOLBERG, Anatoly +2 more
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Entropy numbers of embeddings of function spaces with Muckenhoupt weights, III. Some limiting cases
Journal of Function Spaces, Volume 9, Issue 2, Page 129-178, 2011., 2011 We study compact embeddings for weighted spaces of Besov and Triebel‐Lizorkin type where the weight belongs to some Muckenhoupt Ap class. This extends our previous results [25] to more general weights of logarithmically disturbed polynomial growth, both near some singular point and at infinity.
Dorothee D. Haroske +2 more
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Atomic, molecular and wavelet decomposition of generalized 2‐microlocal Besov spaces
Journal of Function Spaces, Volume 8, Issue 2, Page 129-165, 2010., 2010 We introduce generalized 2‐microlocal Besov spaces and give characterizations in decomposition spaces by atoms, molecules and wavelets. We apply the wavelet decomposition to prove that the 2‐microlocal spaces are invariant under the action of pseudodifferential operators of order 0.
Henning Kempka, Hans Triebel
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Spaces of Sobolev type with positive smoothness on ℝn, embeddings and growth envelopes
Journal of Function Spaces, Volume 7, Issue 3, Page 251-288, 2009., 2009 We characterize Triebel‐Lizorkin spaces with positive smoothness on ℝn, obtained by different approaches. First we present three settings Fp,qs(ℝn),Fp,qs(ℝn),ℑp,qs(ℝn) associated to definitions by differences, Fourier‐analytical methods and subatomic decompositions.
Cornelia Schneider, Hans Triebel
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On the degree of compactness of embeddings between weighted modulation spaces
Journal of Function Spaces, Volume 6, Issue 3, Page 303-317, 2008., 2008 The paper investigates the asymptotic behaviour of entropy and approximation numbers of compact embeddings between weighted modulation spaces.
Aicke Hinrichs +3 more
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Moroccan Journal of Pure and Applied Analysis, 2019 We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).
Haji Badr El +2 more
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