Weak and Strong Type Estimates for the Multilinear Littlewood–Paley Operators
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-021-09870-x
Abstract: Let $S_{\alpha}$ be the multilinear square function defined on the cone with aperture $\alpha \geq 1$. In this paper, we investigate several kinds of weighted norm inequalities for $S_{\alpha}$. We first obtain a sharp weighted… read more here.
Keywords: weak strong; strong type; type estimates; littlewood paley ... See more keywords
Stationary Phase Type Estimates for Low Symbol Regularity
Sign Up to like & getrecommendations! Published in 2019 at "Analysis Mathematica"
DOI: 10.1007/s10476-020-0038-6
Abstract: The well-known stationary phase formula gives us a way to find asymptotics of oscillating integrals so long as the symbol is regular enough (in comparison to the large parameter controlling the oscillation). However in a… read more here.
Keywords: phase; symbol; stationary phase; type estimates ... See more keywords
On Landau’s Type Estimates for Coefficients of Univalent Functions
Sign Up to like & getrecommendations! Published in 2020 at "Computational Methods and Function Theory"
DOI: 10.1007/s40315-020-00333-w
Abstract: In this article we estimate the sum of coefficients for functions with restrictions on the pre-Schwarzian derivative. We obtain an estimate, which is sharp up to a constant and find upper and lower bounds for… read more here.
Keywords: landau type; coefficients univalent; estimates coefficients; univalent functions ... See more keywords
Riesz potential type estimates for nonlinear elliptic equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.07.031
Abstract: Abstract For p ≥ 2 , we study nonlinear elliptic equations of p -Laplacian type with measure data div a ( D u , u , x ) = μ in Ω when the nonlinearity… read more here.
Keywords: riesz potential; potential type; type estimates; elliptic equations ... See more keywords
Shi-type estimates and finite time singularities of flows of G2 structures
Sign Up to like & getrecommendations! Published in 2017 at "Quarterly Journal of Mathematics"
DOI: 10.1093/qmath/hax060
Abstract: In this paper, we extend Lotay-Wei's Shi-type estimate from Laplacian flow to more general flows of G$_2$ structures including the modified Laplacian co-flow. Then we prove a version of $\kappa$-non-collapsing theorem. We will use both… read more here.
Keywords: finite time; shi type; type estimates; flows structures ... See more keywords
Weak type estimates of genuine Calderón–Zygmund operators on the local Morrey spaces associated with ball quasi-Banach function spaces
Sign Up to like & getrecommendations! Published in 2024 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2024-2013
Abstract: Abstract Weak type estimates for genuine Calderón–Zygmund operators are established on the local Morrey spaces associated with ball quasi-Banach function spaces by two different methods. Above all, we obtain weak type estimates for the operator… read more here.
Keywords: weak type; morrey spaces; type estimates; estimates genuine ... See more keywords
Weak-type estimates for variable Riesz potentials with respect to the Hausdorff content over metric measure spaces
Sign Up to like & getrecommendations! Published in 2025 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2025-2044
Abstract: Abstract We are concerned with weak-type estimates for variable Riesz potentials I α ( ⋅ ) , τ f {I_{\alpha(\,\cdot\,),\tau}f} with respect to variable dimensional Hausdorff content over bounded metric measure spaces X… read more here.
Keywords: estimates variable; content; type estimates; weak type ... See more keywords
New Simpson's Type Estimates for Two Newly Defined Quantum Integrals
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14030548
Abstract: In this paper, we give some correct quantum type Simpson’s inequalities via the application of q-Hölder’s inequality. The inequalities of this study are compatible with famous Simpson’s 1/8 and 3/8 quadrature rules for four and… read more here.
Keywords: quantum; new simpson; type estimates; simpson type ... See more keywords
Modica type estimates and curvature results for overdetermined $ p $-Laplace problems
Sign Up to like & getrecommendations! Published in 2025 at "Discrete and Continuous Dynamical Systems"
DOI: 10.3934/dcds.2025155
Abstract: In this paper we prove Modica type estimates for the following overdetermined $p$-Laplace problem \begin{equation*} \begin{cases} \mathrm{div} \left(|\nabla u|^{p-2}\nabla u\right)+f(u) =0&\mbox{in $\Omega$, } u>0&\mbox{in $\Omega$, } u=0&\mbox{on $\partial\Omega$, } \partial_{\nu} u=-\kappa&\mbox{on $\partial\Omega$, } \end{cases} \end{equation*}… read more here.
Keywords: mbox; type estimates; partial omega; modica type ... See more keywords