Add to ORKGLet $f:\R\to \R$ be a locally integrable function of bounded lower oscillation. The paper contains the proofs of sharp strong-type, weak-type and exponential estimates for the mean oscillation of $f$. In particular, this yields the precise value of the norm of the embedding $BLO \subset BMO_p$, $1\leq
Title from PDF of title page (University of Missouri--Columbia, viewed on November 5,2012).The entir...
Abstract. In this paper we study the Coifman type estimate for an oscillation operator related to th...
New L(1)-lower semicontinuity and relaxation results for integral functionals defined in BV(Omega) a...
Let $f:\R\to \R$ be a locally integrable function of bounded lower oscillation. The paper contains t...
We introduce a method which can be used to establish sharp maximal estimates for functions of bounde...
A locally integrable function is said to be of vanishing mean oscillation (VMO) if its mean oscillat...
summary:A version of the John-Nirenberg inequality suitable for the functions $b\in {\rm BMO}$ with ...
The John–Nirenberg theorem states that functions of bounded mean oscillation are exponentially inte...
Abstract. We construct the upper and lower Bellman functions for the Lp (quasi)-norms of BMO functio...
AbstractLet g(f) be the Littlewood–Paley g-function of f on Rn. In this paper, the authors prove tha...
We prove the $L^p$ boundedness of certain nonconvolutional oscillatory integral operators and give e...
Abstract: There are subspaces of BMO(Rⁿ), BMO(r), 1 ≤ r<∞, introduced in [S] and defined by the g...
In this paper we study the boundedness properties of certain oscillatory integrals with polynomial p...
We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The up...
We prove a generalization of the fact that periodic functions converge weakly to the mean value as t...
Title from PDF of title page (University of Missouri--Columbia, viewed on November 5,2012).The entir...
Abstract. In this paper we study the Coifman type estimate for an oscillation operator related to th...
New L(1)-lower semicontinuity and relaxation results for integral functionals defined in BV(Omega) a...
Let $f:\R\to \R$ be a locally integrable function of bounded lower oscillation. The paper contains t...
We introduce a method which can be used to establish sharp maximal estimates for functions of bounde...
A locally integrable function is said to be of vanishing mean oscillation (VMO) if its mean oscillat...
summary:A version of the John-Nirenberg inequality suitable for the functions $b\in {\rm BMO}$ with ...
The John–Nirenberg theorem states that functions of bounded mean oscillation are exponentially inte...
Abstract. We construct the upper and lower Bellman functions for the Lp (quasi)-norms of BMO functio...
AbstractLet g(f) be the Littlewood–Paley g-function of f on Rn. In this paper, the authors prove tha...
We prove the $L^p$ boundedness of certain nonconvolutional oscillatory integral operators and give e...
Abstract: There are subspaces of BMO(Rⁿ), BMO(r), 1 ≤ r<∞, introduced in [S] and defined by the g...
In this paper we study the boundedness properties of certain oscillatory integrals with polynomial p...
We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The up...
We prove a generalization of the fact that periodic functions converge weakly to the mean value as t...
Title from PDF of title page (University of Missouri--Columbia, viewed on November 5,2012).The entir...
Abstract. In this paper we study the Coifman type estimate for an oscillation operator related to th...
New L(1)-lower semicontinuity and relaxation results for integral functionals defined in BV(Omega) a...