Results 11 to 20 of about 131 (87)
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
doaj +1 more source
Advanced Nonlinear Studies, 2021 The concentration-compactness principle for the Trudinger–Moser-type inequality in the Euclidean space was established crucially relying on the Pólya–Szegő inequality which allows to adapt the symmetrization argument.
Li Jungang, Lu Guozhen, Zhu Maochun
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On dilation operators and sampling numbers
Journal of Function Spaces, Volume 6, Issue 1, Page 17-46, 2008., 2008 We consider the dilation operators Tk : f → f(2k.) in the frame of Besov spaces Bpqs(ℝd) with 1 ≤p, q ≤ ∞. If s > 0, Tk is a bounded linear operator from Bpqs(ℝd) into itself and there are optimal bounds for its norm, see [4, 2.3.1]. We study the situation in the case s = 0, an open problem mentioned also in [4]. It turns out, that new effects based on
Jan Vybíral, Hans Triebel
wiley +1 more source
Regularity for commutators of the local multilinear fractional maximal operators
Advances in Nonlinear Analysis, 2020 In this paper we introduce and study the commutators of the local multilinear fractional maximal operators and a vector-valued function b⃗ = (b1, …, bm). Under the condition that each bi belongs to the first order Sobolev spaces, the bounds for the above
Zhang Xiao, Liu Feng
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On the boundedness of operators in LP(ιq) and Triebel‐Lizorkin Spaces
Journal of Function Spaces, Volume 6, Issue 2, Page 177-186, 2008., 2008 Given a bounded linear operator T : LPO(ℝn) → Lp1(ℝn), we state conditions under which T defines a bounded operator between corresponding pairs of Lp(ℝn; ιq) spaces and Triebel‐Lizorkin spaces Fp,qs(ℝn). Applications are given to linear parabolic equations and to Schrödinger semigroups.
João Pedro Boto, Hans Triebel
wiley +1 more source
Advanced Nonlinear Studies, 2023 Let II be a bounded interval of R{\mathbb{R}} and λ1(I){\lambda }_{1}\left(I) denote the first eigenvalue of the nonlocal operator (−Δ)14{(-\Delta )}^{\tfrac{1}{4}} with the Dirichlet boundary.
Chen Lu, Wang Bohan, Zhu Maochun
doaj +1 more source