Results 71 to 80 of about 82,240 (178)

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

Duality of Variable Exponent Triebel-Lizorkin and Besov Spaces

Journal of Function Spaces and Applications, 2012
We will prove the duality and reflexivity of variable exponent Triebel-Lizorkin and Besov spaces. It was shown by many authors that variable exponent Triebel-Lizorkin spaces coincide with variable exponent Bessel potential spaces, Sobolev spaces, and ...
Takahiro Noi
doaj   +1 more source

Existence and Uniqueness of Solutions to Abstract Discrete-Time Cauchy Problems in Vector-Valued Weighted Spaces

Axioms
This article studies the abstract discrete-time Cauchy problem involving the Riemann–Liouville type difference operator. Sufficient conditions for the existence of unique solution to the semilinear Cauchy problem in Lebesgue and weighted Lebesgue vector ...
Jagan Mohan Jonnalagadda, Carlos Lizama
doaj   +1 more source

Potential Operators in Variable Exponent Lebesgue Spaces: Two-Weight Estimates

Journal of Inequalities and Applications, 2010
Two-weighted norm estimates with general weights for Hardy-type transforms and potentials in variable exponent Lebesgue spaces defined on quasimetric measure spaces are established.
Sarwar Muhammad, Kokilashvili Vakhtang, Meskhi Alexander   +2 more
doaj  

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

How Quantum Mechanics Requires Non-Additive Measures. [PDF]

Entropy (Basel), 2023
Carcassi G, Aidala CA.
europepmc   +1 more source

Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle. [PDF]

Manuscr Math
Chatzakou M, Ruzhansky M, Shriwastawa A.
europepmc   +1 more source

Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]

Commun Math Phys
Oh T, Tolomeo L, Wang Y, Zheng G.
europepmc   +1 more source

Generalized Legendre Transforms Have Roots in Information Geometry. [PDF]

Entropy (Basel)
Nielsen F.
europepmc   +1 more source

Varifold solutions to volume-preserving mean curvature flow: existence and weak-strong uniqueness. [PDF]

Math Ann
Poiatti A.
europepmc   +1 more source