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The dual of Hardy spaces on a bounded domain in ℝ n

, 1994
We obtain the dual spaces of local Hardy spaces Af (Ω) and hz(Q) for 0 < p < l on a bounded Lipschitz domain Ω. 1991 Mathematics Subject Classification: 42B30 §0. Introduction The basic harmonic analysis on the Euclidean space IR" is well developed.
D. Chang
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Equivalence of K-Functionals and Modulus of Smoothness Generated by the Weinstein Operator

, 2017
On this paper, we study the equivalence between K-functionals and modulus of smoothness tied to a Weinstein operator .
S. Rebhi
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A Note On Summability of Derived Series of Fourier Series

Journal of Mountain Research
In this paper, we introduce a new definition of ( ) 1 G N C , ,  summability and present a theorem which establishes conditions for the G(N, p, q) C1 summability of the derived series of a Fourier series.
Dhirendra Singh, Anita Tomar
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Restriction Maps on the Hardy Spaces of the Unit Disc

, 2013
In this paper, we prove the restriction maps define continuous linear operators on the Hardy spaces of the unit disc.
Y. Soykan, Bülent Ecevit
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Spectral Multipliers for Hardy Spaces Associated with Schrödinger Operators with Polynomial Potentials

, 2000
Let Tt be the semigroup of linear operators generated by a Schrödinger operator − A = Δ − V, where V is a non‐negative polynomial, and let ∫0∞λdEA(λ) be the spectral resolution of A. We say that f is an element of HAp if the maximal function Mf(x) = supt>
Jacek Dziubański
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Hardy-Littlewood inequalities for two-parameter Vilenkin-Fourier coefficients

, 2001
In our earlier paper [10] we showed a Hardy type inequality with respect to the two-parameter Vilenkin system. In this work the analogue of this inequality will be given for Hardy spaces H (2/3 < ρ < 1) defined by means of a so-called diagonal maximal ...
P. Simon, F. Weisz
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RIESZ MEANS OF d-DIMENSIONAL FOURIER TRANSFORMS AND FOURIER SERIES

, 2000
It is shown that the maximal operator of the Riesz means with parameter a = ( α ϊ , . . . , a d ) of a d-dimensional tempered distribution is bounded from the Hardy space Hp(R) to £p(R) if max{d/(d + 1), l/(ak + 1), fc = 1 , . . . , d} < ρ < oo and is of
F. Weisz
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Boundary Value Characterizations for Weighted Hardy Spaces of Harmonic Functions

, 1990
Boundary values of harmonic functions in a weighted Hardy space are shown to be identical to a corresponding space defined by the Fefferman-Stein real method. 1980 Mathematics Subject Classification (1985 Revision): 42B30, 46E15; 31B05, 31B25. §
H. Bui
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FUNCTION SPACES WITH VARIABLE EXPONENTS – AN INTRODUCTION –

, 2014
This paper is oriented to an elementary introduction to function spaces with variable exponents and a survey of related function spaces. After providing basic and elementary properties of generalized Lebesgue spaces Lp(·)(Rn) with variable exponents, we ...
M. Izuki, E. Nakai, Y. Sawano
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