Weighted Sobolev inequality in grand mixed norm Lebesgue spaces
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DOI: 10.1007/s11117-020-00764-8
Abstract: We derive necessary and sufficient conditions on weights guaranteeing the one-weight Sobolev-type inequality for strong fractional maximal and multiple fractional integral operators in grand mixed norm Lebesgue spaces. As a consequence, appropriate statements for fractional… read more here.
Keywords: mixed norm; lebesgue spaces; grand mixed; norm lebesgue ... See more keywords
Anisotropic mixed-norm Campanato-type spaces with applications to duals of anisotropic mixed-norm Hardy spaces
Sign Up to like & getrecommendations! Published in 2021 at "Banach Journal of Mathematical Analysis"
DOI: 10.1007/s43037-021-00145-7
Abstract: Let $$\vec {p}\in (0,\infty )^n$$ and A be a general expansive matrix on $${\mathbb {R}}^n$$ . In this article, the authors first introduce some new anisotropic mixed-norm Campanato-type space associated with A. Then the authors… read more here.
Keywords: anisotropic mixed; campanato type; space; mixed norm ... See more keywords
Sharp mixed norm spherical restriction
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DOI: 10.1016/j.aim.2018.10.043
Abstract: Let $d\geq 2$ be an integer and let $2d/(d-1) < q \leq \infty$. In this paper we investigate the sharp form of the mixed norm Fourier extension inequality \begin{equation*} \big\|\widehat{f\sigma}\big\|_{L^q_{{\rm rad}}L^2_{{\rm ang}}(\mathbb{R}^d)} \leq {\bf C}_{d,q}\,… read more here.
Keywords: restriction; mixed norm; leq leq; norm spherical ... See more keywords
Contractive inequalities for mixed norm spaces and the Beta function
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DOI: 10.1016/j.jmaa.2021.125938
Abstract: For a wide range of pairs of mixed norm spaces such that one space is contained in another, we characterize all cases when contractive norm inequalities hold. In particular, this yields such results for many… read more here.
Keywords: beta function; mixed norm; spaces beta; norm spaces ... See more keywords
Robust Localization based on Mixed-Norm Minimization Criterion
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DOI: 10.1109/access.2022.3177838
Abstract: This paper presents robust positioning methods that use range measurements to estimate location parameters. The existing maximum correntropy criterion-based localization algorithm uses only the l2 norm minimization. Therefore, the localization performance may not be satisfying… read more here.
Keywords: norm minimization; mixed norm; localization; criterion ... See more keywords
A Compact Formulation for the $\ell _{2,1}$ Mixed-Norm Minimization Problem
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2017.2788431
Abstract: Parameter estimation from multiple measurement vectors (MMVs) is a fundamental problem in many signal processing applications, e.g., spectral analysis and direction-of-arrival estimation. Recently, this problem has been addressed using prior information in form of a… read more here.
Keywords: sparse signal; mixed norm; formulation; norm minimization ... See more keywords
Direction-of-arrival of strictly non-circular sources based on weighted mixed-norm minimization
Sign Up to like & getrecommendations! Published in 2018 at "EURASIP Journal on Wireless Communications and Networking"
DOI: 10.1186/s13638-018-1234-y
Abstract: In this paper, a super-resolution direction-of-arrival (DoA) algorithm for strictly non-circular sources is introduced. The proposed algorithm is based on subspace-weighted mixed-norm minimization. Firstly, we augment the array aperture for efficiently exploiting the non-circularity of… read more here.
Keywords: strictly non; mixed norm; norm minimization; direction arrival ... See more keywords
On mixed norm Bergman–Orlicz–Morrey spaces
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DOI: 10.1515/gmj-2018-0027
Abstract: Abstract Following the ideas of our previous research, in this paper we continue the study of new Bergman-type spaces on the unit disc with mixed norm in terms of Fourier coefficients. Here we deal with… read more here.
Keywords: morrey spaces; mixed norm; norm bergman; bergman orlicz ... See more keywords
Embeddings of harmonic mixed norm spaces on smoothly bounded domains in ℝn
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DOI: 10.1515/math-2019-0108
Abstract: Abstract The main result of this paper is the embedding Bβs,r(Ω)↪Bβ+(n−1)(1s−1s1)s1,r1(Ω), $$\begin{array}{} \displaystyle \mathcal{B}^{s,r}_\beta({\it\Omega})\hookrightarrow \mathcal{B}^{s_1,r_1}_{\beta+(n-1)\big(\frac 1s-\frac 1{s_1}\big)}({\it\Omega}), \end{array}$$ 0 < r ≤ r1 ≤ ∞, 0 < s ≤ s1 ≤ ∞, β > –1,… read more here.
Keywords: smoothly bounded; embeddings harmonic; mixed norm; spaces smoothly ... See more keywords
Mixed-Norm Amalgam Spaces and Their Predual
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DOI: 10.3390/sym14010074
Abstract: In this paper, we introduce mixed-norm amalgam spaces (Lp→,Ls→)α(Rn) and prove the boundedness of maximal function. Then, the dilation argument obtains the necessary and sufficient conditions of fractional integral operators’ boundedness. Furthermore, the strong estimates… read more here.
Keywords: conditions fractional; mixed norm; norm amalgam; norm ... See more keywords
On New Decomposition Theorems for Mixed-Norm Besov Spaces with Ingredient Modulus of Smoothness
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DOI: 10.3390/sym15030642
Abstract: In this paper, we introduce and study the concept of the ingredient modulus of smoothness in component form in Lp→(Rd) and a kind of mixed-norm Sobolev space. We obtain some new properties, inequalities, and auxiliary… read more here.
Keywords: ingredient modulus; norm besov; mixed norm; modulus smoothness ... See more keywords