Results 71 to 80 of about 355 (125)

Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces

, 2013
In this paper, we establish the Hardy inequality of the logarithmic type in the critical Sobolev-Lorentz spaces. More precisely, we generalize the Hardy type inequality obtained in Edmunds and Triebel (Math. Nachr. 207:79-92, 1999).
Shuji Machihara, T. Ozawa, H. Wadade
semanticscholar   +1 more source

Fractional integrals on B_σ-weighted Morrey spaces

, 2016
By using Bσ -weighted function spaces, we will investigate the weighted estimates of fractional integrals on Bσ -weighted Morrey spaces, which unify the weighted estimates of them on several function spaces.
Y. Komori‐Furuya, Katsuo Matsuoka
semanticscholar   +1 more source

On a critical Choquard-Kirchhoff p-sub-Laplacian equation in ℍn

Analysis and Geometry in Metric Spaces
This article is devoted to the study of a critical Choquard-Kirchhoff pp-sub-Laplacian equation on the entire Heisenberg group Hn{{\mathbb{H}}}^{n}, where the Kirchhoff function KK can be zero at zero, i.e., the equation can be degenerate, and involving ...
Liang Sihua, Pucci Patrizia, Song Yueqiang, Sun Xueqi   +3 more
doaj   +1 more source

Embedding of classes of functions with λ_φ-bounded variation into generalized Lipschitz classes

, 2015
In this note, we obtain the sufficient and necessary condition for the embedding of the classes ΛφBV of functions with Λφ -bounded variation into the generalized Lipschitz classes Hω q , 1 q < ∞ .
Heping Wang
semanticscholar   +1 more source

Weighted Hardy-Adams inequality on unit ball of any even dimension

Advances in Nonlinear Analysis
In this study, we obtain the weighted Hardy-Adams inequality of any even dimension n≥4n\ge 4. Namely, for u∈C0∞(Bn)u\in {C}_{0}^{\infty }\left({{\mathbb{B}}}^{n}) with ∫Bn∣∇n2u∣2dx−∏k=1n⁄2(2k−1)2∫Bnu2(1−∣x∣2)ndx≤1,\mathop{\int }\limits_{{{\mathbb{B}}}^{n}
Wang Xumin
doaj   +1 more source

Norm inequalities for composition of the Dirac and Green’s operators

, 2013
We first prove a norm inequality for the composition of the Dirac operator and Green’s operator. Then, we estimate for the Lipschitz and BMO norms of the composite operator in terms of the Ls norm of a differential form.MSC:26B10, 30C65, 31B10, 46E35.
S. Ding, Bing Liu
semanticscholar   +1 more source

Sharp Sobolev Inequalities via Projection Averages. [PDF]

J Geom Anal, 2021
Kniefacz P, Schuster FE.
europepmc   +1 more source

Duality of capacities and Sobolev extendability in the plane. [PDF]

Complex Analysis Synerg, 2021
Zhang YR.
europepmc   +1 more source

Nonexistence and existence of solutions for a supercritical p-Laplacian elliptic problem

Advanced Nonlinear Studies
In this paper, we obtain a general supercritical Sobolev inequality in W0,rad1,p(B) ${W}_{0,rad}^{1, p}\left(B\right)$ , where B is the unit ball in RN ${\mathbb{R}}^{N}$ .
Liu Yanjun, Li Yu, Chen Yuan
doaj   +1 more source

Fractional Maximal Functions in Metric Measure Spaces

Analysis and Geometry in Metric Spaces, 2013
We study the mapping properties of fractional maximal operators in Sobolev and Campanato spaces in metric measure spaces. We show that, under certain restrictions on the underlying metric measure space, fractional maximal operators improve the Sobolev ...
Heikkinen Toni, Lehrbäck Juha, Nuutinen Juho, Tuominen Heli   +3 more
doaj   +1 more source