Modulation type spaces for generators of polynomially bounded groups and Schrödinger equations
Sign Up to like & getrecommendations! Published in 2019 at "Semigroup Forum"
DOI: 10.1007/s00233-019-10016-1
Abstract: We introduce modulation type spaces associated with the generators of polynomially bounded groups. Besides strongly continuous groups we study in detail the case of bi-continuous groups, e.g. weak$$^*$$∗-continuous groups in dual spaces. It turns out… read more here.
Keywords: polynomially bounded; bounded groups; type spaces; modulation ... See more keywords
Generalized Cesàro Operators on Dirichlet-Type Spaces
Sign Up to like & getrecommendations! Published in 2021 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-022-0111-2
Abstract: In this note, we introduce and study a new kind of generalized Cesaro operators $\mathcal{C}_{\mu}$, induced by a positive Borel measure $\mu$ on $[0, 1)$, between the Dirichlet-type spaces. We characterize the measures $\mu$ for… read more here.
Keywords: generalized ces; type spaces; operators dirichlet; dirichlet type ... See more keywords
Differences of Composition Operators on Bloch Type Spaces
Sign Up to like & getrecommendations! Published in 2017 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-016-0595-7
Abstract: In this paper, we study the boundedness, compactness and essential norm of differences of composition operators $$C_{\varphi }-C_{\psi }$$Cφ-Cψ on Bloch type spaces. In particular, we use the Bloch type norm of $$\varphi ^n-\psi ^n$$φn-ψn… read more here.
Keywords: operators bloch; bloch type; type spaces; differences composition ... See more keywords
Approximation of Invariant Subspaces in Some Dirichlet-Type Spaces
Sign Up to like & getrecommendations! Published in 2018 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-017-0706-0
Abstract: The Hilbert space $$\mathcal {D}_{2}$$D2 is the space of all holomorphic functions f defined on the open unit disc $$\mathbb {D}$$D such that $${f}^{'}$$f′ is in the Hardy Hilbert space $$\mathbf {H}^2.$$H2. In this paper,… read more here.
Keywords: subspaces dirichlet; space; type spaces; approximation invariant ... See more keywords
On embeddings of Morrey type spaces between weighted Lebesgue or Stummel spaces with application to Herz spaces
Sign Up to like & getrecommendations! Published in 2021 at "Banach Journal of Mathematical Analysis"
DOI: 10.1007/s43037-021-00128-8
Abstract: We study embeddings of Morrey type spaces $${\varvec{M}}^{p,q,\omega } ({\mathbb {R}}^n ) $$ , $$1 \leqslant pp $$ we show that the embedding, in general, cannot hold with $$ \omega =w $$ . For global… read more here.
Keywords: stummel spaces; embeddings morrey; weighted lebesgue; type spaces ... See more keywords
Embeddings of Lorentz-type spaces involving weighted integral means☆
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2017.06.008
Abstract: We solve the problem of characterizing weights on (0, infinity) for which the inequality involving two possibly different general inner weighted means (integral(infinity)(0)(integral(t)(0)f*(s)(m2) ... read more here.
Keywords: lorentz type; type spaces; embeddings lorentz; weighted integral ... See more keywords
Characterizations of predual spaces to a class of Sobolev multiplier type spaces
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2021.109348
Abstract: We characterize preduals and Kothe duals to a class of Sobolev multiplier type spaces. Our results fit in well with the modern theory of function spaces of harmonic analysis and are also applicable to nonlinear… read more here.
Keywords: type spaces; sobolev multiplier; multiplier type; class sobolev ... See more keywords
Holomorphic Campanato type spaces over Carleson tubes and Bergman metric balls
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.08.001
Abstract: Abstract In this paper we give some characterizations of holomorphic Campanato type spaces in terms of Carleson tubes and Bergman metric balls in the unit ball. read more here.
Keywords: holomorphic campanato; type spaces; tubes bergman; campanato type ... See more keywords
Möbius invariant Dirichlet type spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.06.059
Abstract: Abstract Let D μ , p be a Dirichlet type space induced by a positive parameter p and a positive Borel measure μ on the open unit disk. Denote by M ( D μ ,… read more here.
Keywords: space; type spaces; measure; bius invariant ... See more keywords
On interpolating sequences for Bloch type spaces
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2022.126079
Abstract: When we deal with H∞, it is known that c0−interpolating sequences are interpolating and it is sufficient to interpolate idempotents of l∞ in order to interpolate the whole l∞. We will extend these results to… read more here.
Keywords: bloch type; interpolating sequences; sequences bloch; type spaces ... See more keywords
Multilinear Hausdorff operator on variable exponent Morrey–Herz type spaces
Sign Up to like & getrecommendations! Published in 2019 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2019.1666375
Abstract: The aim of this paper is to give necessary and sufficient conditions for the boundedness of a general class of multilinear Hausdorff operators that acts on the product of some weighted function spaces with variable… read more here.
Keywords: type spaces; multilinear hausdorff; morrey herz; herz type ... See more keywords