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Article
Erratum to: Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz–Morrey spaces of the third kind
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Article
Compactness of Commutators of Integral Operators with Functions in Campanato Spaces on Orlicz-Morrey Spaces
We consider the commutators [b, T] and \([b,I_{\rho }]\) [ b ...
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Article
Atomic and Wavelet Characterization of Musielak–Orlicz Hardy Spaces for Generalized Orlicz Functions
The goal of this paper is to obtain atomic and wavelet characterizations of Musielak–Orlicz Hardy spaces. Recently, in 2018, Fu and Yang obtained wavelet characterizations of Musielak–Orlicz Hardy spaces for g...
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Article
Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces
We consider the commutators [b, T] and \([b,I_{\rho }]\) [ b ...
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Article
Campanato–Morrey spaces for the double phase functionals
We prove that the Riesz potential operator \(I_\alpha \) I α of order \(\alpha \) α embeds from Musielak–Orlicz–Morrey spaces \(L^{\Phi ,\nu }(\mathbf{R}^N)\) L Φ , ν ( R N ) of the doub...
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Article
Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz–Morrey spaces of the third kind
In the present paper, we will characterize the boundedness of the generalized fractional integral operators \(I_{\rho }\) ...
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Article
Commutators of Calderón–Zygmund and generalized fractional integral operators on generalized Morrey spaces
We consider the commutators [b, T] and \([b,I_{\rho }]\) ...
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Article
Singular and fractional integral operators on preduals of Campanato spaces with variable growth condition
We investigate the boundedness of singular and fractional integral operators on generalized Hardy spaces defined on spaces of homogeneous type, which are preduals of Campanato spaces with variable growth condi...
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Chapter and Conference Paper
Pointwise Multipliers on Musielak-Orlicz-Morrey Spaces
In this paper we characterize pointwise multipliers from a Musielak-Orlicz-Morrey space to another Musielak-Orlicz-Morrey space. The set of all pointwise multipliers is also a Musielak-Orlicz-Morrey space.
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Article
Characterizations of variable exponent Hardy spaces via Riesz transforms
Let \(p(\cdot ):\ \mathbb R^n\rightarrow (0,\infty )\) ...
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Article
Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz–Morrey spaces
In the present paper, we shall give a necessary and sufficient condition for the weak/strong boundedness of generalized fractional maximal operators on generalized Orlicz–Morrey spaces. We also give necessary ...
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Article
Orlicz-Hardy spaces and their duals
We establish the theory of Orlicz-Hardy spaces generated by a wide class of functions. The class will be wider than the class of all the N-functions. In particular, we consider the non-smooth atomic decomposition...
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Article
Evaluation of two- and three-dimensional visualization for endoscopic endonasal surgery using a novel stereoendoscopic system in a novice: a comparison on a dry laboratory model
Three-dimensional (3-D) stereoscopic vision is theoretically superior to two-dimensional (2-D) vision in endoscopic endonasal surgery. However, only few reports have quantitatively compared endoscopic performa...
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Article
Integral operators on B σ -Morrey-Campanato spaces
We show the boundedness of the Hardy-Littlewood maximal operator, singular and fractional integral operators, and more general sublinear operators on B σ -Morrey...
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Article
Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \({\bf R}^{n}\)
Our aim in this paper is to deal with Sobolev embeddings for Riesz potentials of variable order with functions in variable exponent Musielak-Orlicz-Morrey spaces.
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Article
Gagliardo–Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces
The aim of this paper is to give a Gagliardo–Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces over spaces of homogeneous type.
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Article
Pointwise multipliers of Orlicz spaces
We show that the result on multipliers of Orlicz spaces holds in general. Namely, under the assumption that three Young functions Φ1, Φ2 and Φ, generating corresponding Orlicz spaces, satisfy the estimate ...
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Article
Singular and fractional integral operators on Campanato spaces with variable growth conditions
Let X be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, we prove boundedness of singular and fractional integral operators on Campanato spaces over X with variable growth conditions...
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Article
Construction of solutions for the initial value problem of a functional-differential equation of advanced type
Let λ > 1 and \(a \in {\mathbb{R}}, a \neq 0\) . We give a method to construct solutions for the initial value problem...
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Article
A generalization of Hardy spaces H p by using atoms
Let X = (X, d, µ) be a space of homogeneous type in the sense of Coifman and Weiss. The purpose of this paper is to generalize the definition of Hardy space H p ...
