6533b7cefe1ef96bd12578d7

RESEARCH PRODUCT

On Functions of Integrable Mean Oscillation

Oscar BlascoM. Amparo Perez

subject

Arc (geometry)symbols.namesakeIntegrable systemOscillationGeneral MathematicsPoisson kernelMathematical analysissymbolsModulusHarmonic oscillatorMathematics

description

Given we denote by the modulus of mean oscillation given by where is an arc of , stands for the normalized length of , and . Similarly we denote by the modulus of harmonic oscillation given by where and stand for the Poisson kernel and the Poisson integral of respectively. It is shown that, for each , there exists such that

https://doi.org/10.5209/rev_rema.2005.v18.n2.16696