In this paper, we give the definition of local variable Morrey–Lorentz spaces Mp(⋅),q(⋅),λloc(Rn) which are a new class functions. Also, prove boundedness Hardy–Littlewood maximal operator M and Calderón–Zygmund operators T on these spaces. Finally, apply results to Bochner–Riesz Brδ, identity approximation Aε Marcinkiewicz μΩ Mp(⋅),q(⋅),λloc(Rn).

In this work we prove Hardy space estimates for bilinear Littlewood-Paley-Stein square function and Calderón-Zygmund operators. Sufficient Carleson measure type conditions are given for square functions to be bounded from H p1 ×H p2 into Lp for indices smaller than 1, and sufficient BMO type conditions are given for a bilinear Calderón-Zygmund operator to be bounded from H p1 ×H p2 into H p for...

Recently an upsurge in research relating to Laguerre filters for use in system optimization [1], system identification [2] and reduced-order modeling [3] has been noticed. The main reason for the good performance of Laguerre filters is that they form a uniformly bounded orthonormal basis in Hardy space [1]. Another reason, and this represents the novelty of the work carried out in this paper, i...

In this paper, we completely characterize the compactness of Volterra type integration operators $$J_b$$ acting from weighted Bergman spaces $$A^p_{\alpha }$$ to Hardy $$H^q$$ for all $$0<p,q<\infty $$ . Furthermore, give some estimates essential norms $$J_b:A^p_{\alpha }\rightarrow H^q$$ in case $$0<p\le q<\infty We finally describe membership Schatten(-Herz) class operators.

where ψ{v) = u, u. R. O'Neil obtained sharp upper and lower estimates when ψ(u) — u and n — 2, [3, Lemma 1.5]. Our results coincide with his for this case. We were able to apply our estimates for the case ψ(u) = u (^-arbitrary) to classical Fourier transform inequalities of Hardy and Little wood. The main problem of this paper is to determine whether or not one can obtain the same types of uppe...

An extension of a Tauberian theorem of Hardy and Littlewood is proved. It is used to show that, for classes of finite models satisfying certain combinatorial and growth properties, Cesfiro probabilities (limits of average probabilities over second order sentences) exist. Examples of such classes include the class of unary functions and the class of partial unary functions. It is conjectured tha...

Hardy persons are hypothesized to be resistant to stress-induced illness, because of their adaptive cognitive style and a subsequently reduced level of physiological arousal. We assessed the cognitive and physiological responses of high and low hardy male undergraduates to a challenging task under high and low evaluative threat. As predicted, hardy subjects endorsed more positive self-statement...

We investigate a large class of elliptic differential inclusions on non-compact complete Riemannian manifolds which involves the Laplace–Beltrami operator and Hardy-type singular term. Depending behavior nonlinear term curvature manifold, we guarantee non-existence existence/multiplicity solutions for studied inclusion. The proofs are based nonsmooth variational analysis as well isometric actio...

If φ is an analytic map of the unit diskD into itself, the composition operator Cφ on the Hardy space H (D) is defined by Cφ(f) = f ◦ φ. For a certain class of composition operators with multivalent symbol φ, we identify a subspace of H(D) on which C∗ φ behaves like a weighted shift. We reproduce the description of the spectrum found in [5] and show for this class of composition operators that ...