Results 101 to 110 of about 1,114,131 (237)

The Fourier transform in Lebesgue spaces

Czechoslovak Mathematical Journal
For each $f\in L^p({\mathbb R)}$ ($1\leq p<\infty$) it is shown that the Fourier transform is the distributional derivative of a Hölder continuous function. For each $p$ a norm is defined so that the space Fourier transforms is isometrically isomorphic to $L^p({\mathbb R)}$. There is an exchange theorem and inversion in norm.
openaire   +3 more sources

On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15010-15055, 15 September 2026.
ABSTRACT We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of Forchheimer‐type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a nonlinear partial differential equation for the pseudo‐pressure.
Emine Celik, Luan Hoang, Thinh Kieu
wiley   +1 more source

Resolvent estimates of elliptic differential and finite-element operators in pairs of function spaces

International Journal of Mathematics and Mathematical Sciences, 2004
We present some resolvent estimates of elliptic differential and finite-element operators in pairs of function spaces, for which the first space in a pair is endowed with stronger norm. In this work we deal with estimates in (Lebesgue, Lebesgue), (Hölder,
Nikolai Yu. Bakaev
doaj   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Approximation in weighted generalized grand Lebesgue spaces

, 2018
In the present paper the best approximation of the functions in generalized grand Lebesgue spaces have been investigated. We study the inverse problem of approximation theory in generalized grand Lebesgue spaces. © 2018, Tsing Hua University.
Jafarov, S.
core   +1 more source

Characterization of Lipschitz Spaces via Commutators of Fractional Maximal Function on the $p$-Adic Variable Exponent Lebesgue Spaces

Comptes Rendus. Mathématique
In this paper, the main aim is to give some characterizations of the boundedness of the maximal or nonlinear commutator of the $p$-adic fractional maximal operator $ \mathcal{M}_{\alpha }^{p}$ with the symbols belong to the $p$-adic Lipschitz spaces in ...
Wu, Jianglong, Chang, Yunpeng
doaj   +1 more source

Matriceal Lebesgue spaces and Hölder inequality

Journal of Function Spaces and Applications, 2005
We introduce a class of spaces of infinite matrices similar to the class of Lebesgue spaces Lp(T), 1≤p≤∞, and we prove matriceal versions of Hölder inequality.
Sorina Barza, Dimitri Kravvaritis, Nicolae Popa   +2 more
doaj   +1 more source

Mathematical Modeling of Pulse‐Seeded Metapopulation Dynamics for Andes Hantavirus Border Dispersal

Engineering Reports, Volume 8, Issue 9, September 2026.
A pulse‐seeded metapopulation SEIR model for Andes hantavirus maritime dispersal shows that heterogeneous quarantine compliance determines secondary outbreak risk. The weakest‐compliance country governs global containment, while uniform compliance above ∼65%$$ \sim 65\% $$ reduces the global reproduction number below unity.
Gideon K. Gogovi, Paul Chataa
wiley   +1 more source

Uniqueness in weighted Lebesgue spaces for a class of fractional parabolic and elliptic equations

, 2015
We investigate uniqueness, in suitable weighted Lebesgue spaces, of solutions to a class of fractional parabolic and elliptic ...
Valdinoci, Enrico, F. Punzo, PUNZO, FABIO, E. Valdinoci   +3 more
core   +1 more source

Parseval–Goldstein-Type Theorems for Lebedev–Skalskaya Transforms

Axioms
This paper investigates Parseval–Goldstein-type relationships in the framework of Lebedev–Skalskaya transforms. The research also examines the continuity properties of these transforms, along with their adjoint counterparts over weighted Lebesgue spaces.
Emilio Ramón Negrín, Benito Juan González, Jeetendrasingh Maan   +2 more
doaj   +1 more source